Sharp inequalities between L^p-norms for the higher dimensional Hardy operator and its dual

DOI10.7153/MIA-2021-24-20zbMath1473.43001OpenAlexW3135561482MaRDI QIDQ4991572

Rui Liu, Fa You Zhao

Publication date: 3 June 2021

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2021-24-20

zbMATH Keywords

Heisenberg groupdual operatorsharp constanthigher dimensional Hardy operator

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Cites Work

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• Harmonic analysis on the Heisenberg group
• About Riesz transforms on the Heisenberg groups
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• One-dimensional Hardy-type inequalities in many dimensions
• Weighted Hardy and Cesàro operators on Heisenberg group and their norms
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Best Constants for Two Nonconvolution Inequalities
• Sharp bounds for Hardy type operators on higher-dimensional product spaces

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