Notes on pseudodifferential operators commutators and Lipschitz functions

DOI10.1515/MATH-2023-0130MaRDI QIDQ6611477

Yu-long Deng

Publication date: 26 September 2024

Published in: Open Mathematics (Search for Journal in Brave)

zbMATH Keywords

pseudodifferential operators, commutators, Lipschitz functions, homogeneous Triebel-Lizorkin space \(\dot{F}_p^{\gamma, \infty} (\boldsymbol{\mathrm{R}}^n)\)

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Pseudodifferential operators (47G30)

Cites Work

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• New weighted norm inequalities for pseudodifferential operators and their commutators
• A Hardy estimate for commutators of pseudo-differential operators
• Weighted norm inequalities for pseudo-differential operators with smooth symbols and their commutators
• Estimates for the kernel and continuity properties of pseudo-differential operators
• Weighted norm inequalities for certain pseudo-differential operators
• Commutators of pseudo-differential operators
• Weighted norm inequalities for pseudo-pseudodifferential operators defined by amplitudes
• Pseudodifferential operators on local Hardy spaces
• Weighted norm inequalities for pseudo-differential operators
• Factorization theorems for Hardy spaces in several variables
• Mean oscillation and commutators of singular integral operators
• Boundedness of commutators on Hardy type spaces
• Endpoint estimates for the commutators of pseudo-differential operators
• \(H^p\) spaces of several variables
• Maximal functions measuring smoothness
• Paradifferential operators and commutator estimates
• Double weighted commutators theorem for pseudo-differential operators with smooth symbols

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