Schatten class Hankel operators on the Bergman spaces of strongly pseudoconvex domains
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- by Huiping Li
- Proc. Amer. Math. Soc. 119 (1993), 1211-1221
- DOI: https://doi.org/10.1090/S0002-9939-1993-1169879-9
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Abstract:
In this paper, we characterize holomorphic functions $f$ such that the Hankel operators ${H_{\bar f}}$ are in the Schatten classes on bounded strongly pseudoconvex domains. It is proved that for $p > 2n,\;{H_{\bar f}}$ is in the Schatten class ${S_p}$ if and only if $f$ is in the Besov space ${B_p}$; for $p \leqslant 2n,\;{H_{\bar f}}$ is in the Schatten class ${S_p}$ if and only if $f = {\text {constant}}$.References
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Bibliographic Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 1211-1221
- MSC: Primary 47B35; Secondary 32A37, 47B10
- DOI: https://doi.org/10.1090/S0002-9939-1993-1169879-9
- MathSciNet review: 1169879