On the boundedness of semiclassical pseudodifferential operators on Triebel-Lizorkin spaces

DOI10.22034/KJM.2024.459109.3212MaRDI QIDQ6672050

Author name not available (Why is that?)

Publication date: 28 January 2025

Published in: Khayyam Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Triebel-Lizorkin spacespseudodifferential operatorsHardy-Littlewood maximal operator

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Fourier integral operators applied to PDEs (35S30) Pseudodifferential operators (47G30)

Cites Work

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• Estimates for the kernel and continuity properties of pseudo-differential operators
• Weighted norm inequalities for certain pseudo-differential operators
• Sharp function and weighted \(L^ p\) estimates for a class of pseudo- differential operators
• Weighted norm inequalities for pseudo-differential operators
• On the boundedness of pseudo-differential operators on Triebel-Lizorkin and Besov spaces
• Nonregular pseudo-differential operators
• \(H^s\)-boundedness of a class of Fourier integral operators
• The boundedness of a class of semiclassical Fourier integral operators on Sobolev space \(H^s\)
• Domains of pseudo-differential operators: a case for the Triebel-Lizorkin spaces
• Classical Fourier Analysis
• The weyl calculus of pseudo-differential operators
• Ψ-pseudodifferential operators and estimates for maximal oscillatory integrals

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