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Complex Analysis and Operator Theory

, Volume 13, Issue 2, pp 405–429 | Cite as

Skew Carleson Measures in Strongly Pseudoconvex Domains

  • Marco Abate
  • Jasmin RaissyEmail author
Article
  • 53 Downloads

Abstract

Given a bounded strongly pseudoconvex domain D in \(\mathbb {C}^n\) with smooth boundary, we give a characterization through products of functions in weighted Bergman spaces of \((\lambda ,\gamma )\)-skew Carleson measures on D, with \(\lambda >0\) and \(\gamma >1-\frac{1}{n+1}\).

Keywords

Carleson measure Toeplitz operator Strongly pseudoconvex domain Weighted Bergman space 

Mathematics Subject Classification

Primary 32A36 Secondary 32A25 32Q45 32T15 46E22 46E15 47B35 

Notes

Acknowledgements

We wish to thank the anonymous referee for her/his useful comments.

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Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversità di PisaPisaItaly
  2. 2.Institut de Mathématiques de Toulouse, UMR5219, CNRS, UPS IMTUniversité de ToulouseToulouse Cedex 9France

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