Fourier Multipliers and Littlewood‐Paley for modulation spaces

DOI10.1002/mana.201200133zbMath1285.42013arXiv1208.5832OpenAlexW2594472587MaRDI QIDQ5408107

Parasar Mohanty, Saurabh Shrivastava

Publication date: 8 April 2014

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

Full work available at URL: https://arxiv.org/abs/1208.5832

zbMATH Keywords

Fourier multipliersmodulation spacesLittlewood-Paley operators

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Multipliers for harmonic analysis in several variables (42B15)

Cites Work

• Unnamed Item
• Estimates for translation invariant operators in \(L^p\) spaces
• Fourier multipliers of classical modulation spaces
• Unimodular Fourier multipliers for modulation spaces
• A Littlewood-Paley inequality for arbitrary intervals
• Idempotents of Fourier multiplier algebra
• Continuity properties for modulation spaces, with applications to pseudo-differential calculus. I.
• Continuity properties for modulation spaces, with applications to pseudo-differential calculus. II
• The dilation property of modulation spaces and their inclusion relation with Besov spaces
• A class of Fourier multipliers for modulation spaces
• On \(L_ p\) multipliers
• The multiplier problem for the ball
• Changes of variables in modulation and Wiener amalgam spaces
• Restrictions and extensions of Fourier multipliers

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