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Arkiv for Matematik, 2005, Volume 44
ISSN:
0004-2080 (Print)
1871-2487 (Online)
In this volume (24 articles)
Issue 1
[1] Values of the Euler phi function not divisible by a given odd prime
Blair K. Spearman Department of Mathematics and Statistics, University of British Columbia Okanagan Kenneth S. Williams School of Mathematics and Statistics, Carleton University
TBD mathscidoc:1701.333068
Arkiv for Matematik, 44, (1), 166-181, 2004.5
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[2] Uniqueness of the group topology of some homeomorphism groups
Adel A. George Michael Department of Mathematics, Voorhees College
TBD mathscidoc:1701.333069
Arkiv for Matematik, 44, (1), 92-96, 2004.8
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[3] Plurisubharmonic functions characterized by one-variable extremal functions
Sione Ma‘u Department of Mathematics, University of Auckland
TBD mathscidoc:1701.333070
Arkiv for Matematik, 44, (1), 111-131, 2004.8
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[4] Absence of the absolutely continuous spectrum of a first-order non-selfadjoint Dirac-like system for slowly decaying perturbations
Marco Marletta School of Mathematics, Cardiff University Roman Romanov School of Computer Science, Cardiff University
TBD mathscidoc:1701.333071
Arkiv for Matematik, 44, (1), 132-148, 2004.8
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[5] On subextension of pluriharmonic and plurisubharmonic functions
Jonas Wiklund Graduate School of Mathematics, Nagoya University
TBD mathscidoc:1701.333072
Arkiv for Matematik, 44, (1), 182-190, 2004.11
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The problem of$subextension$of plurisubharmonic functions is considered. Recently it was shown by Cegrell–Zeriahi, that subextension is always possible for negative plurisubharmonic functions in the energy class ℱ. In this paper we construct, for every hyperconvex domain Ω, a negative plurisubharmonic function in the class ℰ which cannot be subextended. Given any pseudoconvex domain we construct a pluriharmonic function that cannot be subextended.
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[6] Auslander–Reiten sequences on schemes
Peter Jørgensen Department of Pure Mathematics, University of Leeds
TBD mathscidoc:1701.333073
Arkiv for Matematik, 44, (1), 97-103, 2004.3
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[7] Courants résidus et formule de King
Michel Méo I.E.C.N., Université de Nancy I
TBD mathscidoc:1701.333074
Arkiv for Matematik, 44, (1), 149-165, 2003.1
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[8] The pluripolar hull of a graph and fine analytic continuation
Tomas Edlund Department of Mathematics, Uppsala University Burglind Jöricke Department of Mathematics, Uppsala University
TBD mathscidoc:1701.333075
Arkiv for Matematik, 44, (1), 39-60, 2004.5
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We show that if the graph of an analytic function in the unit disk$D$is not complete pluripolar in$C$^{2}then the projection of its pluripolar hull contains a fine neighborhood of a point $p\in\partial\mathbf{D}$ . Moreover the projection of the pluripolar hull is always finely open. On the other hand we show that if an analytic function$f$in$D$extends to a function ℱ which is defined on a fine neighborhood of a point $p\in\partial\mathbf{D}$ and is finely analytic at$p$then the pluripolar hull of the graph of$f$contains the graph of ℱ over a smaller fine neighborhood of$p$. We give several examples of functions with this property of fine analytic continuation. As a corollary we obtain new classes of analytic functions in the disk which have non-trivial pluripolar hulls, among them$C$^{∞}functions on the closed unit disk which are nowhere analytically extendible and have infinitely-sheeted pluripolar hulls. Previous examples of functions with non-trivial pluripolar hull of the graph have fine analytic continuation.
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[9] On the tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem
John Andersson Institutionen för Matematik, Kungliga Tekniska högskolan Norayr Matevosyan Johann Radon Institut für Angewandte Mathematik, Österreichische Akademie der Wissenschaften Hayk Mikayelyan Mathematisches Institut, Universität Leipzig
TBD mathscidoc:1701.333076
Arkiv for Matematik, 44, (1), 1-15, 2004.6
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In this paper we consider the following two-phase obstacle-problem-like equation in the unit half-ball $$\Delta u = \lambda_{+\chi_{\{ u>0 \}}} - \lambda_{-\chi_{\{ u<0 \}}},\quad\lambda_{\pm}>0. $$ We prove that the free boundary touches the fixed boundary (uniformly) tangentially if the boundary data$f$and its first and second derivatives vanish at the touch-point.
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[10] Polynomials in the de Branges spaces of entire functions
Anton D. Baranov Department of Mathematics and Mechanics, St. Petersburg State University
TBD mathscidoc:1701.333077
Arkiv for Matematik, 44, (1), 16-38, 2004.11
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We study the problem of density of polynomials in the de Branges spaces ℋ($E$) of entire functions and obtain conditions (in terms of the distribution of the zeros of the generating function$E$) ensuring that the polynomials belong to the space ℋ($E$) or are dense in this space. We discuss the relation of these results with the recent paper of V. P. Havin and J. Mashreghi on majorants for the shift-coinvariant subspaces. Also, it is shown that the density of polynomials implies the hypercyclicity of translation operators in ℋ($E$).
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[11] A contractible Levi-flat hypersurface which is a determining set for pluriharmonic functions
Franc Forstnerič Institute of Mathematics, Physics and Mechanics, University of Ljubljana
TBD mathscidoc:1701.333078
Arkiv for Matematik, 44, (1), 87-91, 2004.6
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[12] Cyclicity in the Dirichlet space
Omar El-Fallah Département de Mathématiques, Université Mohamed V Karim Kellay CMI, LATP, Université de Provence Thomas Ransford Département de mathématiques et de statistique, Université Laval
TBD mathscidoc:1701.333079
Arkiv for Matematik, 44, (1), 61-86, 2004.8
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Let $\mathcal{D}$ be the Dirichlet space, namely the space of holomorphic functions on the unit disk whose derivative is square-integrable. We give a new sufficient condition, not far from the known necessary condition, for a function$f$∈ $\mathcal{D}$ to be$cyclic$, i.e. for {$pf$:$p$is a polynomial} to be dense in $\mathcal{D}$ .
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[13] Lower estimates for integral means of univalent functions
Ilgiz R. Kayumov Institute of Mathematics and Mechanics, Kazan University
TBD mathscidoc:1701.333080
Arkiv for Matematik, 44, (1), 104-110, 2004.8
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Issue 2
[1] On the Laplacian in the halfspace with a periodic boundary condition
Rupert L. Frank Department of Mathematics, Royal Institute of Technology
TBD mathscidoc:1701.333081
Arkiv for Matematik, 44, (2), 277-298, 2004.12
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We study spectral and scattering properties of the Laplacian$H$^{(σ)}=-Δ in $L_2(\mathbf{R}^{d+1}_+)$ corresponding to the boundary condition $\frac{\partial u}{\partial\nu} + \sigma u = 0$ with a periodic function σ. For non-negative σ we prove that$H$^{(σ)}is unitarily equivalent to the Neumann Laplacian$H$^{(0)}. In general, there appear additional channels of scattering due to surface states. We prove absolute continuity of the spectrum of$H$^{(σ)}under mild assumptions on σ.
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[2] Spectral order and isotonic differential operators of Laguerre–Pólya type
Julius Borcea Department of Mathematics, Stockholm University
TBD mathscidoc:1701.333082
Arkiv for Matematik, 44, (2), 211-240, 2004.5
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The spectral order on$R$^{$n$}induces a natural partial ordering on the manifold $\mathcal{H}_{n}$ of monic hyperbolic polynomials of degree$n$. We show that all differential operators of Laguerre–Pólya type preserve the spectral order. We also establish a global monotony property for infinite families of deformations of these operators parametrized by the space ℓ^{∞}of real bounded sequences. As a consequence, we deduce that the monoid $\mathcal{A}^{\prime}$ of linear operators that preserve averages of zero sets and hyperbolicity consists only of differential operators of Laguerre–Pólya type which are both extensive and isotonic. In particular, these results imply that any hyperbolic polynomial is the global minimum of its $\mathcal{A}^{\prime}$ -orbit and that Appell polynomials are characterized by a global minimum property with respect to the spectral order.
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[3] Exact propagators for some degenerate hyperbolic operators
Richard Beals Department of Mathematics, Yale University Yakar Kannai Department of Mathematics, Weizmann Institute of Science
TBD mathscidoc:1701.333083
Arkiv for Matematik, 44, (2), 191-209, 2005.3
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Exact propagators are obtained for the degenerate second order hyperbolic operators ∂^{2}_{$t$}-$t$^{2$l$}Δ_{$x$},$l$=1,2,..., by analytic continuation from the degenerate elliptic operators ∂^{2}_{$t$}+$t$^{2$l$}Δ_{$x$}. The partial Fourier transforms are also obtained in closed form, leading to integral transform formulas for certain combinations of Bessel functions and modified Bessel functions.
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[4] Sharp integral estimates for the fractional maximal function and interpolation
Natan Kruglyak Department of Mathematics, Luleå University of Technology Evgeny A. Kuznetsov Department of Mathematics, Luleå University of Technology
TBD mathscidoc:1701.333084
Arkiv for Matematik, 44, (2), 309-326, 2005.5
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We give sharp estimates for the fractional maximal function in terms of Hausdorff capacity. At the same time we identify the real interpolation spaces between$L$_{1}and the Morrey space $\mathcal{L}^{1,\lambda}$ . The result can be viewed as an analogue of the Hardy–Littlewood maximal theorem for the fractional maximal function.
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[5] Boundedness for pseudodifferential operators on multivariate α-modulation spaces
Lasse Borup Department of Mathematical Sciences, Aalborg University Morten Nielsen Department of Mathematics, Washington University
TBD mathscidoc:1701.333085
Arkiv for Matematik, 44, (2), 241-259, 2005.2
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The α-modulation spaces$M$^{$s$,α}_{$p$,$q$}($R$^{$d$}), α∈[0,1], form a family of spaces that contain the Besov and modulation spaces as special cases. In this paper we prove that a pseudodifferential operator σ($x$,$D$) with symbol in the Hörmander class$S$^{$b$}_{ρ,0}extends to a bounded operator σ($x$,$D$):$M$^{$s$,α}_{$p$,$q$}($R$^{$d$})→$M$^{$s$-$b$,α}_{$p$,$q$}($R$^{$d$}) provided 0≤α≤ρ≤1, and 1<$p$,$q$<∞. The result extends the well-known result that pseudodifferential operators with symbol in the class$S$^{$b$}_{1,0}maps the Besov space$B$^{$s$}_{$p$,$q$}($R$^{$d$}) into$B$^{$s$-$b$}_{$p$,$q$}($R$^{$d$}).
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[6] Endpoint estimates for Riesz transforms of magnetic Schrödinger operators
Xuan Thinh Duong Department of Mathematics, Macquarie University El Maati Ouhabaz Laboratoire Bordelais d’Analyse et Geometrie, C.N.R.S. UMR 5467 Universite Bordeaux 1 Lixin Yan Department of Mathematics, Macquarie University
TBD mathscidoc:1701.333086
Arkiv for Matematik, 44, (2), 261-275, 2005.6
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Let $A=-(\nabla-i\vec{a})^2+V$ be a magnetic Schrödinger operator acting on$L$^{2}($R$^{$n$}),$n$≥1, where $\vec{a}=(a_1,\cdots,a_n)\in L^2_{\rm loc}$ and 0≤$V$∈$L$^{1}_{loc}. Following [1], we define, by means of the area integral function, a Hardy space$H$^{1}_{$A$}associated with$A$. We show that Riesz transforms (∂/∂$x$_{$k$}-$i$$a$_{$k$})$A$^{-1/2}associated with$A$, $k=1,\cdots,n$ , are bounded from the Hardy space$H$^{1}_{$A$}into$L$^{1}. By interpolation, the Riesz transforms are bounded on$L$^{$p$}for all 1<$p$≤2.
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[7] An interpolation theorem between one-sided Hardy spaces
Sheldy Ombrosi Departamento de Matemática, Universidad Nacional del Sur Carlos Segovia Instituto Argentino de Matemática, CONICET Ricardo Testoni Departamento de Matemática, FCEyN, Universidad de Buenos Aires
TBD mathscidoc:1701.333087
Arkiv for Matematik, 44, (2), 335-348, 2005.8
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In this paper we generalize an interpolation result due to J.-O. Strömberg and A. Torchinsky to the case of one-sided Hardy spaces. This generalization is important in the study of the weak type (1,1) for lateral strongly singular operators. We shall need an atomic decomposition in which for every atom there exists another atom supported contiguously at its right. In order to obtain this decomposition we have developed a rather simple technique to break up an atom into a sum of others atoms.
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[8] Steady periodic capillary waves with vorticity
Erik Wahlén Department of Mathematics, Lund University
TBD mathscidoc:1701.333088
Arkiv for Matematik, 44, (2), 367-387, 2005.2
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[9] A new sufficient condition for Hamiltonian graphs
Ronald J. Gould Department of Mathematics and Computer Science, Emory University Kewen Zhao Department of Mathematics, Qiongzhou University
TBD mathscidoc:1701.333089
Arkiv for Matematik, 44, (2), 299-308, 2005.8
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The study of Hamiltonian graphs began with Dirac’s classic result in 1952. This was followed by that of Ore in 1960. In 1984 Fan generalized both these results with the following result: If$G$is a 2-connected graph of order$n$and max{$d$($u$),$d$($v$)}≥$n$/2 for each pair of vertices$u$and$v$with distance$d$($u$,$v$)=2, then$G$is Hamiltonian. In 1991 Faudree–Gould–Jacobson–Lesnick proved that if$G$is a 2-connected graph and |$N$($u$)∪$N$($v$)|+δ($G$)≥$n$for each pair of nonadjacent vertices$u$,$v$∈$V$($G$), then$G$is Hamiltonian. This paper generalizes the above results when$G$is 3-connected. We show that if$G$is a 3-connected graph of order$n$and max{|$N$($x$)∪$N$($y$)|+$d$($u$),|$N$($w$)∪$N$($z$)|+$d$($v$)}≥$n$for every choice of vertices$x$,$y$,$u$,$w$,$z$,$v$such that$d$($x$,$y$)=$d$($y$,$u$)=$d$($w$,$z$)=$d$($z$,$v$)=$d$($u$,$v$)=2 and where$x$,$y$and$u$are three distinct vertices and$w$,$z$and$v$are also three distinct vertices (and possibly |{$x$,$y$}∩{$w$,$z$}| is 1 or 2), then$G$is Hamiltonian.
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[10] Germes d’ensembles analytiques dans une hypersurface algébrique
Emmanuel Mazzilli C.N.R.S. U.M.R. 8524, U.F.R. de Mathématiques, Université Lille I
TBD mathscidoc:1701.333090
Arkiv for Matematik, 44, (2), 327-333, 2005.7
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Dans ce papier, nous nous intéressons au problème suivant : soit$a$_{$N$}une suite de points d’une hypersurface algèbrique convergeant vers a∈H ; supposons que pour tout$N$, il existe un germe de disque holomorphe en$a$_{$N$}, γ_{$N$}, contenu dans$H$. Alors, d’après des résultats classiques (voir [5] et [6]) le point$a$n’est pas un point de 1-type fini et donc, il existe un germe de disque holomorphe en a vivant dans$H$(voir [5]). Dans ce qui suit, nous proposons une méthode effective pour reconstruire, à partir de la suite$a$_{$N$}et des γ_{$N$}, un germe d’ensemble analytique en$a$contenu dans$H$.
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[11] Two separation theorems of Andreotti–Vesentini type
Viorel Vâjâitu Institute of Mathematics “Simion Stoilow”, Romanian Academy
TBD mathscidoc:1701.333091
Arkiv for Matematik, 44, (2), 349-365, 2004.10
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Impact Factor
0.744
Available
1949 - 2016
Volumes
60
Issues
119
Articles
1382