Bandlimited multipliers on matrix-weighted \(L^p\)-spaces

DOI10.1007/s00041-024-10136-5MaRDI QIDQ6669596

Morten Hegner Nielsen

Publication date: 22 January 2025

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

sampling theoremMuckenhoupt conditionband-limited functionsFourier multiplier operatormatrix weight

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operators on function spaces (general) (47B38) Multipliers in one variable harmonic analysis (42A45)

Cites Work

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• Matrix \(A_p\) weights via maximal functions.
• Littlewood-Paley theory for matrix-weighted function spaces
• Inverse volume inequalities for matrix weights
• Matrix-weighted Besov spaces
• Matrix $A_p$ weights via $S$-functions
• Modern Fourier Analysis
• Embeddings of doubling weighted Besov spaces
• Matrix weighted norm inequalities for commutators and paraproducts with matrix symbols
• Matrix-weighted Besov spaces and conditions of A_p type for 0 less than p \leq 1
• Wavelets and the angle between past and future
• Commutators in the two scalar and matrix weighted setting
• Matrix-weighted Besov-type and Triebel-Lizorkin-type spaces. III: Characterizations of molecules and wavelets, trace theorems, and boundedness of pseudo-differential operators and Calderón-Zygmund operators

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