Type 1,1-Operators Defined by Vanishing Frequency Modulation

DOI10.1007/978-3-7643-8969-7_10zbMath1217.35219arXiv1701.03334OpenAlexW79001558MaRDI QIDQ3613202

Johnsen, Jon.

Publication date: 12 March 2009

Published in: New Developments in Pseudo-Differential Operators (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.03334

zbMATH Keywords

composite functionsspectral support rulemicrolocal propertypseudo-localtype 1,1 pseudo-differential operators

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Operations with distributions and generalized functions (46F10) Pseudodifferential operators (47G30)

Related Items (6)

Simple proofs of nowhere-differentiability for Weierstrass's function and cases of slow growth ⋮ Fundamental results for pseudo-differential operators of type \(1, 1\) ⋮ On the boundedness of pseudo-differential operators on Triebel-Lizorkin and Besov spaces ⋮ Pointwise estimates of pseudo-differential operators ⋮ \(L^p\) and Sobolev boundedness of pseudodifferential operators with non-regular symbol: a regularisation approach ⋮ Parametrices and Exact Paralinearization of Semi-Linear Boundary Problems

Cites Work

• A discrete transform and decompositions of distribution spaces
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• Lectures on nonlinear hyperbolic differential equations
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• Pseudo-differential operators with nonregular symbols
• Domains of pseudo-differential operators: a case for the Triebel-Lizorkin spaces
• Une algebre maximale d'operateurs pseudo-differentiels d'operateurs pseudo-differentiels
• Pseudo-differential operaors of type 1,1.
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Continuity Properties of Pseudodifferential Operators of Type 1,1
• A Pseudo Differential Operator which Shifts the Wave Front Set
• Continuity of pseedo‐differential operators of type 1,1
• Microlocal properties for pseudodifferential operators of type 1,1
• Pointwise Multiplication of Besov and Triebel‐Lizorkin Spaces
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