Inclusion relations between \(L^p\)-Sobolev and Wiener amalgam spaces

DOI10.1016/j.jfa.2014.10.017zbMath1304.42056OpenAlexW2012560094MaRDI QIDQ473184

Masaharu Kobayashi, Jayson Cunanan, Mitsuru Sugimoto

Publication date: 21 November 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2014.10.017

zbMATH Keywords

Wiener amalgam spacesunimodular Fourier multipliers\(L^p\)-Sobolev spacesLittlewood-Paley type inequalities

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15)

Related Items

Boundedness of bilinear pseudo-differential operators of \(S_{0,0}\)-type in Wiener amalgam spaces and in Lebesgue spaces ⋮ On \(L^p\)-boundedness of pseudo-differential operators of Sjöstrand's class ⋮ Boundedness of bilinear pseudo‐differential operators with BS0,0m$BS^{m}_{0,0}$ symbols on Sobolev spaces ⋮ Gabor products and a phase space approach to nonlinear analysis ⋮ Mild solutions and spacetime integral bounds for Stokes and Navier-Stokes flows in Wiener amalgam spaces ⋮ Sharp embedding between Wiener amalgam and some classical spaces ⋮ Multilinear pseudo-differential operators with \(S_{0, 0}\) class symbols of limited smoothness ⋮ Existence of weak solutions to a convection-diffusion equation in amalgam spaces ⋮ Boundedness of multilinear pseudo-differential operators with \(S_{0,0}\) class symbols on Besov spaces ⋮ The Hartree–Fock equations in modulation spaces ⋮ Characterization of inclusion relations between Wiener amalgam and some classical spaces ⋮ Hausdorff operators on modulation and Wiener amalgam spaces ⋮ Boundedness of multilinear pseudo-differential operators with symbols in the Hörmander class \(S_{0,0}\) ⋮ Local Energy Solutions to the Navier--Stokes Equations in Wiener Amalgam Spaces ⋮ Global well-posedness for fractional Hartree equation on modulation spaces and Fourier algebra ⋮ Characterizations of some properties on weighted modulation and Wiener amalgam spaces

Cites Work

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