Directional derivative estimates for berezin's operator calculus

L. A. Coburn

doi:10.1090/S0002-9939-07-09081-8

Directional derivative estimates for berezin's operator calculus

L. A. Coburn

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Directional derivative estimates for Berezin symbols of bounded operators on Bergman spaces of arbitrary bounded domains ω in ℂⁿ are obtained. These estimates also hold in the setting of the Segal-Bargmann space on ℂⁿ. It is also shown that our estimates are sharp at every point of ω by exhibiting the optimizers explicitly.

Original language	English
Pages (from-to)	641-649
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	136
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-07-09081-8
State	Published - Feb 2008

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abstract = "Directional derivative estimates for Berezin symbols of bounded operators on Bergman spaces of arbitrary bounded domains ω in ℂn are obtained. These estimates also hold in the setting of the Segal-Bargmann space on ℂn. It is also shown that our estimates are sharp at every point of ω by exhibiting the optimizers explicitly.",

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AB - Directional derivative estimates for Berezin symbols of bounded operators on Bergman spaces of arbitrary bounded domains ω in ℂn are obtained. These estimates also hold in the setting of the Segal-Bargmann space on ℂn. It is also shown that our estimates are sharp at every point of ω by exhibiting the optimizers explicitly.

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Directional derivative estimates for berezin's operator calculus

Abstract

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