Weighted norm inequalities for pseudo-pseudodifferential operators defined by amplitudes

DOI10.1016/j.jfa.2010.03.013zbMath1195.47033OpenAlexW2067961514MaRDI QIDQ973955

David J. Rule, Wolfgang Staubach, Nicholas Michalowski

Publication date: 26 May 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2010.03.013

zbMATH Keywords

pseudodifferential operatoramplitudeweighted norm inequalitiesbounded mean oscillation

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential operators (47G30)

Related Items (15)

A NOTE ON MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS AND ITERATED COMMUTATORS ⋮ Weighted estimates for Toeplitz operators related to pseudodifferential operators ⋮ Extrapolation on function and modular spaces, and applications ⋮ New weighted norm inequalities for pseudodifferential operators and their commutators ⋮ Sparse bounds for pseudodifferential operators ⋮ Unnamed Item ⋮ Endpoint sparse domination for classes of multiplier transformations ⋮ Weighted estimates for rough pseudo-differential operators and their commutators ⋮ Calderón-Zygmund operators on local Hardy spaces ⋮ Unnamed Item ⋮ Control of pseudodifferential operators by maximal functions via weighted inequalities ⋮ Local and global estimates for hyperbolic equations in Besov-Lipschitz and Triebel-Lizorkin spaces ⋮ On weighted norm inequalities for oscillatory integral operators ⋮ Multilinear pseudodifferential operators beyond Calderón-Zygmund theory ⋮ Double weighted commutators theorem for pseudo-differential operators with smooth symbols

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
• Vector valued inequalities for strongly singular Calderón-Zygmund operators
• Interior \(W^{2,p}\) estimates for non-divergence elliptic equations with discontinuous coefficients
• Factorization theorems for Hardy spaces in several variables
• Calderon-Zygmund operators, pseudo-differential operators and the Cauchy integral of Calderon
• Fourier integral operators. I
• Weighted Norm Inequalities for Strongly Singular Convolution Operators
• On The L²continuity of pseudo_differential operators
• Results on Weighted Norm Inequalities for Multipliers
• Weighted Sobolev Spaces and Pseudodifferential Operators with Smooth Symbols
• Weighted estimates for commutators of linear operators
• Ψ-pseudodifferential operators and estimates for maximal oscillatory integrals
• On the L² continuity of pseudo‐differential operators
• Weighted Norm Inequalities for the Hardy Maximal Function

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