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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Funding
This research is supported by the National Natural Science Foundation of China (No. 11720101003).
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Pan, W., Wulan, H. A Derivative-Free Characterization of the Weighted Besov Spaces. Anal Math 49, 243–252 (2023). https://doi.org/10.1007/s10476-023-0187-5
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DOI: https://doi.org/10.1007/s10476-023-0187-5