Weighted Lp Boundedness of Pseudodifferential Operators and Applications

DOI10.4153/CMB-2011-122-7zbMath1252.42019MaRDI QIDQ2909641

Nicholas Michalowski, Wolfgang Staubach, David J. Rule

Publication date: 6 September 2012

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

pseudodifferential operatorweighted norm inequalitycommutator estimate

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Pseudodifferential operators (47G30)

Related Items (11)

A NOTE ON MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS AND ITERATED COMMUTATORS ⋮ Sparse bounds for pseudodifferential operators ⋮ Sparse bounds for pseudo-multipliers associated to Grushin operators. I. ⋮ Sparse bounds for pseudo-multipliers associated to Grushin operators. II ⋮ Bilinear pseudo-differential operators on product of weighted spaces ⋮ Control of pseudodifferential operators by maximal functions via weighted inequalities ⋮ Some remarks on the pointwise sparse domination ⋮ Pseudodifferential operators on weighted Hardy spaces ⋮ On weighted norm inequalities for oscillatory integral operators ⋮ Double weighted commutators theorem for pseudo-differential operators with smooth symbols ⋮ Boundedness of Pseudodifferential Operators on Banach Function Spaces

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