加权Besov空间的一个无导数刻画

Pub Date : 2023-01-23 DOI:10.1007/s10476-023-0187-5

W. Pan, H. Wulan

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引用次数: 0

摘要

我们得到了加权Besov空间\（｛｛\cal B｝_K｝\left（p\right）\）的特征；p＜∞，根据单位圆盘中具有权函数K的对称和无导数二重积分。作为副产品，我们对Bergman空间的Littlewood—Paley型的恒等式进行了修改。作为一个应用，得到了\（｛\cal Q｝_K｝\）型空间的无导数刻画。

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A Derivative-Free Characterization of the Weighted Besov Spaces

We obtain a characterization of the weighted Besov space \({{\cal B}_K}\left( p \right)\) for a weight function K, 0 < p < ∞, in terms of symmetric and derivative-free double integrals with the weight function K in the unit disc. As a by-product, we give a modification of the identity of Littlewood—Paley type for the Bergman space. As an application, a derivative-free characterization of \({{\cal Q}_K}\) type spaces is obtained.

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