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HANKEL MEASURES FOR FOCK SPACE

Part of: Spaces and algebras of analytic functions Measures, integration, derivative, holomorphy

Published online by Cambridge University Press:  15 September 2022

ERMIN WANG Open the ORCID record for ERMIN WANG [Opens in a new window]
ERMIN WANG*
Affiliation:
School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang, Guangdong 524048, PR China
*
e-mail: [email protected]
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Abstract

Inspired by Xiao’s work on Hankel measures for Hardy and Bergman spaces [‘Pseudo-Carleson measures for weighted Bergman spaces’. Michigan Math. J. 47 (2000), 447–452], we introduce Hankel measures for Fock space $F^p_\alpha $ . Given $p\ge 1$ , we obtain several equivalent descriptions for such measures on $F^p_\alpha $ .

Keywords

Fock spaceHankel measureCarleson measure

MSC classification

Primary: 30H20: Bergman spaces, Fock spaces
Secondary: 46G12: Measures and integration on abstract linear spaces
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 107 , Issue 2 , April 2023 , pp. 290 - 295
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Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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Footnotes

The author is supported by NNSF of China (12001258) and Lingnan Normal University (ZL1925).

References

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