Sharp estimates for Hardy operators on Heisenberg group

DOI10.1007/s11464-015-0508-5zbMath1333.43001OpenAlexW2181841726MaRDI QIDQ256522

Qing Yan Wu, Zun Wei Fu

Publication date: 9 March 2016

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-015-0508-5

zbMATH Keywords

Heisenberg groupHardy operator\(M_p\) weight

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Inequalities involving derivatives and differential and integral operators (26D10) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items

A characterization of CMO˙q→ via the commutator of Hardy-type operators on mixed Herz spaces, \(L^{p}\) and BMO bounds for weighted Hardy operators on the Heisenberg group, Hausdorff operators on the Heisenberg group, Some estimates for rough Hausdorff operators on the Heisenberg group, Weighted estimates for commutators of Hausdorff operators on the Heisenberg group, Unnamed Item, Rough Hausdorff operator and its commutators on the Heisenberg group, Weak and strong estimates for linear and multilinear fractional Hausdorff operators on the Heisenberg group, The weighted \(L^p\) and \(\text{BMO}\) estimates for fractional Hausdorff operators on the Heisenberg group, Sharp inequalities between L^p-norms for the higher dimensional Hardy operator and its dual, Hausdorff operators on weighted Lorentz spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(M_{p}\) weights for bilinear Hardy operators on \(\mathbb R ^{n}\)
• Quasiconformal mappings on the Heisenberg group
• Weak Lebesgue spaces and quantum mechanical binding
• The best constant for the centered Hardy-Littlewood maximal inequality
• About Riesz transforms on the Heisenberg groups
• Endpoint estimates for \(n\)-dimensional Hardy operators and their commutators
• Best constants for certain multilinear integral operators
• Hardy type and Rellich type inequalities on the Heisenberg group
• Inequalities for the maximal function relative to a metric
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Best Constants for Two Nonconvolution Inequalities
• Best Constants for Uncentred Maximal Functions
• Fonctions maximales centrées de Hardy–Littlewood sur les groupes de Heisenberg
• Centered Hardy-Littlewood maximal functions on Heisenberg type groups
• Weighted Norm Inequalities for the Hardy Maximal Function
• Estimates for the Hardy–Littlewood maximal function on the Heisenberg group
• \(L^p\) and BMO bounds of weighted Hardy-Littlewood averages