Weighted Inequality of Integral Operators Induced by Hardy Kernels

For doubling weights, we obtain a necessary and sufficient condition such that the one weighted inequality of the integral operator induced by Hardy kernels on the unit disk holds. This confirms a conjecture by Guo and Wang in such situations.

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Publication Details

Journal
Taiwanese Journal of Mathematics
Published
2025-08-13
DOI
https://doi.org/10.11650/tjm/250805
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

Weighted Inequality of Integral Operators Induced by Hardy Kernels

Zipeng Wang, Kenan Zhang
Taiwanese Journal of Mathematics
Holomorphic and Operator Theory
article

Weighted Inequality of Integral Operators Induced by Hardy Kernels

Zipeng Wang, Kenan Zhang
article en

Abstract

For doubling weights, we obtain a necessary and sufficient condition such that the one weighted inequality of the integral operator induced by Hardy kernels on the unit disk holds. This confirms a conjecture by Guo and Wang in such situations.

Taiwanese Journal of MathematicsVol. 30(1)
Chongqing University (CN), Fudan University (CN)
National Natural Science Foundation of China, Natural Science Foundation of Chongqing, Centre Scientifique et Technique du Bâtiment
Reduced inequalities
Openalex Percentile: Top 70%
Holomorphic and Operator Theory
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