Atomic Decompositions of F Spaces. Applications to Exotic Pseudodifferential and Fourier Integral Operators

DOI10.1002/mana.19891440114zbMath0766.46020OpenAlexW2117631170MaRDI QIDQ4710957

Hans Triebel

Publication date: 25 June 1992

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19891440114

zbMATH Keywords

singular integral operatoratomic decompositionpseudo-differential operatorFourier integral operatortraces of functions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral operators (47G10) Pseudodifferential operators (47G30)

Related Items

Vector-valued Fourier multipliers on symmetric spaces of the noncompact type, Weighted Tent Spaces, Boundedness of Fourier integral operators on classical function spaces, The dichotomy between traces on \(d\)-sets \(\Gamma \) in \(\mathbb R^n\) and the density of \(D(\mathbb R^n \setminus \Gamma )\) in function spaces

Cites Work

• Unnamed Item
• A discrete transform and decompositions of distribution spaces
• Some new function spaces and their applications to harmonic analysis.
• Some observations on Besov and Lizorkin-Triebel spaces.