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#### Analysis of PDEsmathscidoc:1804.03005

Discrete Contin. Dyn. Syst. Ser. S, 11, (3), 2018
In this paper we study some boundary operators of a class of Bessel-type Littlewood-Paley extensions whose prototype is \alignat 2 \Delta_xu(x,y)+\frac{1-2s}{y}\frac{\partial u}{\partial y}(x,y)+\frac{\partial^2u}{\partial y^2}(x,y)&=0&&\qquad\text{for}\ x\in\Bbb{R}^dd,\ y>0,\\u(x,0)&=f(x)&&\qquad\text{for}\ x\in\Bbb{R}^d. \endalignat In particular, we show that with a logarithmic scaling one can capture the failure of analyticity of these extensions in the limiting cases $s=k\in\Bbb{N}$.
@inproceedings{daniel2018some,
title={Some remarks on boundary operators of Bessel extensions},
author={Daniel Spector, and Jesse Goodman},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180403152630599328021},
booktitle={Discrete Contin. Dyn. Syst. Ser. S},
volume={11},
number={3},
year={2018},
}

Daniel Spector, and Jesse Goodman. Some remarks on boundary operators of Bessel extensions. 2018. Vol. 11. In Discrete Contin. Dyn. Syst. Ser. S. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180403152630599328021.