The equivalence of operator norm between the Hardy-Littlewood maximal function and truncated maximal function on the Heisenberg group

DOI10.1155/2021/7612482OpenAlexW3195099102MaRDI QIDQ2230014

Xiang Li, Xingsong Zhang

Publication date: 17 September 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/7612482

zbMATH Keywords

Heisenberg groupMorrey spacetruncated maximal function

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Analysis on other specific Lie groups (43A80)

Related Items (1)

Nontrivial solutions for a \((p, q)\)-type critical Choquard equation on the Heisenberg group

Cites Work

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• The best constant for the centered Hardy-Littlewood maximal inequality
• Equivalence of operator norm for Hardy-Littlewood maximal operators and their truncated operators on Morrey spaces
• Regularity of solutions of elliptic equations in divergence form in modified local generalized Morrey spaces
• Some weighted estimates on Gaussian measure spaces
• Asymptotic estimates for unimodular multilinear forms with small norms on sequence spaces
• Centered Hardy-Littlewood maximal functions on Heisenberg type groups
• A note on Hardy-Littlewood maximal operators

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