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Hardy Operators on Euclidean Spaces and Related Topics

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AuthorShanzhen Lu, Zunwei Fu, Fayou Zhao and Shaoguang Shi
ISBN9789811253676
Published LanguageEnglish
Publication Year2023
PublisherWorld Scientific
BindingHardback
Pages216
Original Price$78.00
SKU: WS-3381 Categories: ,

Description

In many branches of mathematical analysis and mathematical physics, the Hardy operator and Hardy inequality are fundamentally important and have been intensively studied ever since the pioneer researches. This volume presents new properties of higher-dimensional Hardy operators obtained by the authors and their collaborators over the last decade. Its prime focus is on higher-dimensional Hardy operators that are based on the spherical average form.

The key motivation for this monograph is based on the fact that the Hardy operator is generally smaller than the Hardy–Littlewood maximal operator, which leads to, on the one hand, the operator norm of the Hardy operator itself being smaller than the latter. On the other hand, the former characterizing the weight function class or function spaces is greater than the latter.

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216

Original Price