论文标题

Schatten类Hankel运营商在加权的伯格曼空间上,由常规重量引起

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

论文作者

Keshavarzi, Hamzeh, Wu, Fanglei

论文摘要

在本文中,以$ 1 \ leq p <\ infty $,我们提供了schatten $ p $ p $ p $ - 类汉克运算符$ h_f $和$ h _f $和$ h _ {\ overline {f}} $的数字描述权重。这些方法适用于依靠几种经典方法,同时依靠一种与$ a^2_Ω$的原子分解相关的小说但更方便的结构。

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 $A^2_ω$, in terms of a certain global and local mean oscillation of the symbol $f\in L^2_ω$, provided $ω$ 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 $A^2_ω$.

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