A Derivative-Free Characterization of the Weighted Besov Spaces

IF 0.6 3区数学 Q3 MATHEMATICS Analysis Mathematica Pub Date : 2023-01-23 DOI:10.1007/s10476-023-0187-5

W. Pan, H. Wulan

引用次数: 0

Abstract

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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加权Besov空间的一个无导数刻画

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Analysis Mathematica MATHEMATICS-

CiteScore

1.00

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Traditionally the emphasis of Analysis Mathematica is classical analysis, including real functions (MSC 2010: 26xx), measure and integration (28xx), functions of a complex variable (30xx), special functions (33xx), sequences, series, summability (40xx), approximations and expansions (41xx). The scope also includes potential theory (31xx), several complex variables and analytic spaces (32xx), harmonic analysis on Euclidean spaces (42xx), abstract harmonic analysis (43xx). The journal willingly considers papers in difference and functional equations (39xx), functional analysis (46xx), operator theory (47xx), analysis on topological groups and metric spaces, matrix analysis, discrete versions of topics in analysis, convex and geometric analysis and the interplay between geometry and analysis.

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