Dilation properties for weighted modulation spaces

DOI10.1155/2012/145491zbMath1241.46017arXiv1008.0266OpenAlexW2105987278WikidataQ58908120 ScholiaQ58908120MaRDI QIDQ657316

Elena Cordero, Kasso A. Okoudjou

Publication date: 16 January 2012

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.0266

zbMATH Keywords

Besov spacesweighted modulation spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30)

Related Items (10)

Sharpness of some properties of weighted modulation spaces ⋮ Sobolev spaces of fractional order, Lipschitz spaces, readapted modulation spaces and their interrelations; applications ⋮ Besov Spaces, Symbolic Calculus, and Boundedness of Bilinear Pseudodifferential Operators ⋮ Inverse continuous wavelet transform in pringsheim's sense on Wiener amalgam spaces ⋮ Lipschitz continuity of spectra of pseudodifferential operators in a weighted Sjöstrand class and Gabor frame bounds ⋮ Norm inflation for nonlinear Schrödinger equations in Fourier-Lebesgue and modulation spaces of negative regularity ⋮ Hausdorff operators on modulation spaces \(M_{p, p}^s\) ⋮ The Cauchy problem for the vibrating plate equation in modulation spaces ⋮ Modulation spaces with scaling symmetry ⋮ Wellposedness of NLS in modulation spaces

Cites Work

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• Unimodular Fourier multipliers for modulation spaces
• Remarks on Fourier multipliers and applications to the wave equation
• A Beurling-Helson type theorem for modulation spaces
• Modulation spaces on the Euclidean n-space
• On a new Segal algebra
• Continuity properties for modulation spaces, with applications to pseudo-differential calculus. I.
• Foundations of time-frequency analysis
• The Cauchy problem for the vibrating plate equation in modulation spaces
• Atomic characterizations of modulation spaces through Gabor-type representations
• 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
• Frequency-uniform decomposition method for the generalized BO, KdV and NLS equations
• Local well-posedness of nonlinear dispersive equations on modulation spaces
• Embeddings of some classical Banach spaces into modulation spaces

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