The Bergman projection and weighted estimates for the canonical solution to the problem on non-smooth domains

Author:
Dariush Ehsani

Journal:
Trans. Amer. Math. Soc. **363** (2011), 3959-3975

MSC (2010):
Primary 32A25, 32W05

DOI:
https://doi.org/10.1090/S0002-9947-2011-05277-3

Published electronically:
March 10, 2011

MathSciNet review:
2792975

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Abstract | References | Similar Articles | Additional Information

Abstract: We apply integral representations for functions on non-smooth strictly pseudoconvex domains, the Henkin-Leiterer domains, to derive weighted -estimates for the component of a given function, , which is orthogonal to holomorphic functions in terms of -norms of . The weights are powers of the gradient of the defining function of the domain.

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Additional Information

**Dariush Ehsani**

Affiliation:
Institut für Mathematik, Humboldt-Universität, 10099 Berlin, Germany

Email:
dehsani.math@gmail.com

DOI:
https://doi.org/10.1090/S0002-9947-2011-05277-3

Received by editor(s):
March 15, 2009

Published electronically:
March 10, 2011

Additional Notes:
This reasearch was partially supported by the Alexander von Humboldt Stiftung

Article copyright:
© Copyright 2011
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.