Modulation spaces on the Euclidean n-space
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Publication:1055663
DOI10.4171/ZAA/79zbMath0521.46026MaRDI QIDQ1055663
Publication date: 1983
Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)
Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) (H^p)-spaces (42B30)
Related Items (50)
Trace operators on Wiener amalgam spaces ⋮ The dilation property of modulation spaces and their inclusion relation with Besov spaces ⋮ Some Remarks on Localization Operators ⋮ Multilinear localization operators ⋮ Non-analytic superposition results on modulation spaces with subexponential weights ⋮ Sobolev spaces of fractional order, Lipschitz spaces, readapted modulation spaces and their interrelations; applications ⋮ Frequency-uniform decomposition method for the generalized BO, KdV and NLS equations ⋮ Boundedness of bilinear pseudo-differential operators of \(S_{0,0}\)-type in Wiener amalgam spaces and in Lebesgue spaces ⋮ The global Cauchy problem for the NLS and NLKG with small rough data ⋮ Interpolation of linear operators ⋮ Hörmander multiplier theorem with regularity in modulation spaces ⋮ Trace operators for modulation, \(\alpha\)-modulation and Besov spaces ⋮ Highly oscillatory unimodular Fourier multipliers on modulation spaces ⋮ Boundedness of bilinear pseudo‐differential operators with BS0,0m$BS^{m}_{0,0}$ symbols on Sobolev spaces ⋮ Matrix dilation and Hausdorff operators on modulation spaces ⋮ Inclusion relations between modulation and Triebel-Lizorkin spaces ⋮ Molecular decomposition of the modulation spaces ⋮ Functions operating on modulation spaces and nonlinear dispersive equations ⋮ Multilinear pseudo-differential operators with \(S_{0, 0}\) class symbols of limited smoothness ⋮ An approach to elliptic equations with nonlinear gradient terms via a modulation framework ⋮ Boundedness of multilinear pseudo-differential operators with \(S_{0,0}\) class symbols on Besov spaces ⋮ Sharp continuity results for the short-time Fourier transform and for localization operators ⋮ Time-frequency analysis on modulation spaces \(M_{m}^{p,q}\), \(0 < p,q \leqslant \infty\). ⋮ On the ranges of bilinear pseudo-differential operators of \(S_{0,0}\)-type on \(L^2 \times L^2\) ⋮ COMPOSITION OPERATORS ON WIENER AMALGAM SPACES ⋮ Dilation properties for weighted modulation spaces ⋮ Weighted modulation space \(M^s_{p,q}(w)\) with \(w \in A_\infty^{\text{loc}}\) ⋮ Boundedness properties of pseudo-differential and Calderón--Zygmund operators on modulation spaces ⋮ Modulation Spaces and Nonlinear Evolution Equations ⋮ On a discrete transform of homogeneous decomposition spaces ⋮ Hausdorff operators on modulation spaces \(M_{p, p}^s\) ⋮ Schatten properties, nuclearity and minimality of phase shift invariant spaces ⋮ Lattice size estimates for Gabor decompositions ⋮ Characterization of inclusion relations between Wiener amalgam and some classical spaces ⋮ Boundedness of Schrödinger type propagators on modulation spaces ⋮ A counterexample for boundedness of pseudo-differential operators on modulation spaces ⋮ Hausdorff operators on modulation and Wiener amalgam spaces ⋮ Sharp estimates of unimodular Fourier multipliers on Wiener amalgam spaces ⋮ Sharp embedding relations between local Hardy and \(\alpha\)-modulation spaces ⋮ Bilinear pseudo-differential operators with exotic class symbols of limited smoothness ⋮ On the Hörmander multiplier theorem and modulation spaces ⋮ Remarks on Fourier multipliers and applications to the wave equation ⋮ Estimates for unimodular Fourier multipliers on modulation spaces ⋮ Boundedness of Fourier Integral Operators on $\mathcal {F}L^p$ spaces ⋮ Changes of variables in modulation and Wiener amalgam spaces ⋮ Boundedness of multilinear pseudo-differential operators with symbols in the Hörmander class \(S_{0,0}\) ⋮ Schrödinger Equations in Modulation Spaces ⋮ Characterizations of some properties on weighted modulation and Wiener amalgam spaces ⋮ Unconditional bases for homogeneous \(\alpha\)-modulation type spaces ⋮ Unimodular Fourier multipliers with a time parameter on modulation spaces
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