On traces of general decomposition spaces

DOI10.1007/s00605-013-0532-zzbMath1278.46032OpenAlexW2038706493MaRDI QIDQ368522

Morten Nielsen

Publication date: 23 September 2013

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: http://vbn.aau.dk/ws/files/68806008/R_2012_03.pdf

zbMATH Keywords

Besov spacetrace operatorTriebel-Lizorkin spacemodulation spacedecomposition space

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Cites Work

• Compactly supported frames for decomposition spaces
• Trace operators for modulation, \(\alpha\)-modulation and Besov spaces
• A discrete transform and decompositions of distribution spaces
• On Besov, Hardy and Triebel spaces for \(0<p\leq 1\)
• Pseudodifferential operators in Hardy-Triebel spaces
• On anisotropic Triebel-Lizorkin type spaces, with applications to the study of pseudo-differential operators
• Frame decomposition of decomposition spaces
• Modulation spaces and pseudodifferential operators
• Continuity properties for modulation spaces, with applications to pseudo-differential calculus. I.
• Pseudodifferential operators on ultra-modulation spaces.
• Shearlet coorbit spaces: traces and embeddings in higher dimensions
• Banach Spaces of Distributions Defined by Decomposition Methods, I
• Banach Spaces of Distributions Defined by Decomposition Methods II
• L^p-Estimates for certain non-regular eudo-differential operators.
• Wave packets and fourier integral operators
• Problems in harmonic analysis related to curvature
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