Sharp convolution and multiplication estimates in weighted spaces

DOI10.1142/S0219530514500523zbMath1326.44003OpenAlexW2114957659MaRDI QIDQ5501917

Stevan Pilipović, Joachim Toft, Karoline Johansson, Nenad Teofanov

Publication date: 14 August 2015

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

Full work available at URL: https://doi.org/10.1142/s0219530514500523

zbMATH Keywords

sharpnessFouriermodulationLebesgue

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier series and coefficients in several variables (42B05) Distributions, generalized functions, distribution spaces (46F99)

Related Items (11)

Continuity and Schatten-von Neumann properties for localization operators on modulation spaces ⋮ Gabor products and a phase space approach to nonlinear analysis ⋮ Multiplication and Composition in Weighted Modulation Spaces ⋮ Bilinear localization operators on modulation spaces ⋮ Sharp weighted convolution inequalities and some applications ⋮ Local Well-Posedness for the Nonlinear Schrödinger Equation in the Intersection of Modulation Spaces $$M_{p, q}^s({\mathbb {R}}^d) \cap M_{\infty , 1}({\mathbb {R}}^d)$$ ⋮ Continuity Properties of Multilinear Localization Operators on Modulation Spaces ⋮ Weighted Young-type inequalities on locally compact groups ⋮ Wave-front sets related to quasi-analytic Gevrey sequences ⋮ Characterizations of some properties on weighted modulation and Wiener amalgam spaces ⋮ Unnamed Item

Cites Work

• Isomorphism properties of Toeplitz operators and pseudo-differential operators between modulation spaces
• Banach spaces related to integrable group representations and their atomic decompositions. I
• Micro-local analysis in Fourier Lebesgue and modulation spaces. II
• Micro-local analysis with Fourier Lebesgue spaces. I
• Well-posedness for the incompressible magneto-hydrodynamic system on modulation spaces
• Navier-Stokes equations and nonlinear heat equations in modulation spaces with negative derivative indices
• On identifying the maximal ideals in Banach algebras
• Continuity properties for modulation spaces, with applications to pseudo-differential calculus. I.
• Continuity properties for modulation spaces, with applications to pseudo-differential calculus. II
• Frequency-uniform decomposition method for the generalized BO, KdV and NLS equations
• Changes of variables in modulation and Wiener amalgam spaces
• Continuity and Schatten Properties for Pseudo-differential Operators on Modulation Spaces
• Local well-posedness of nonlinear dispersive equations on modulation spaces
• Embeddings of some classical Banach spaces into modulation spaces

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