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Carleson measures for the generalized Bergman spaces via a T(1)-type theorem

Edgar Tchoundja Département de Mathématiques, Faculté des Sciences de l’Université de Yaoundé I

TBD mathscidoc:1701.333130

Arkiv for Matematik, 46, (2), 377-406, 2007.5
In this paper, we give a new characterization of Carleson measures for the generalized Bergman spaces. We show first that this problem is equivalent to a T(1)-type problem. Using an idea of Verdera (see [V]), we introduce a sort of curvature in the unit ball adapted to our kernel. We establish a good λ inequality which then yields the solution of this T(1)-type problem.
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@inproceedings{edgar2007carleson,
  title={Carleson measures for the generalized Bergman spaces via a T(1)-type theorem},
  author={Edgar Tchoundja},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203622700260939},
  booktitle={Arkiv for Matematik},
  volume={46},
  number={2},
  pages={377-406},
  year={2007},
}
Edgar Tchoundja. Carleson measures for the generalized Bergman spaces via a T(1)-type theorem. 2007. Vol. 46. In Arkiv for Matematik. pp.377-406. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203622700260939.
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