Hardy Operators On Euclidean Spaces And Related Topics
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A01=Fayou Zhao
A01=Shanzhen Lu
A01=Shaoguang Shi
A01=Zunwei Fu
Author_Fayou Zhao
Author_Shanzhen Lu
Author_Shaoguang Shi
Author_Zunwei Fu
Boundedness
Campanato Spaces
Category=PBKF
Commutators
Compactness
Dual Operators
eq_isMigrated=1
eq_nobargain
Fractional Hardy Operators
Hardy Spaces
Hausdorff Operators
Heisenberg Groups
m-linear
Morrey Spaces
n-dimensional Hardy Operators
p-adic Fields
q-inequalities
Sharp Constants
Weighted Knopp Inequalities
Weights
Product details
- ISBN 9789811253676
- Publication Date: 09 May 2023
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
