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arXiv · 2210.06896

Schatten Class Hankel Operators on Weighted Bergman Spaces induced by regular weights

Hamzeh Keshavarzi·Fanglei Wu
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Abstract

In this paper, for $1\leq p<\infty$, we provide several descriptions of Schatten $p$-class Hankel operators $H_f$ and $H_{\overline{f}}$ on the weight Bergman space $A^2_\omega$, in terms of a certain global and local mean oscillation of the symbol $f\in L^2_\omega$, provided $\omega$ is a class of regular weights. The approaches applied to rely on several classical methods, and simultaneously rely on a novel but more convenient construction associated with the atomic decomposition of $A^2_\omega$.

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BibTeXRIS

Hamzeh Keshavarzi, Fanglei Wu. 2022-10-13. Schatten Class Hankel Operators on Weighted Bergman Spaces induced by regular weights. https://arxiv.org/abs/2210.06896

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