Compactness in L 2 and the Fourier Transform
From MaRDI portal
Publication:3717615
DOI10.2307/2044522zbMath0589.46020OpenAlexW4230839750MaRDI QIDQ3717615
Publication date: 1985
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2044522
Fourier transform\(L^ p\)-equicontinuityRiesz-Tamarkin compactness theorem in \(L^ p\)uniform \(L^ p\)-decay
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Compactness in topological linear spaces; angelic spaces, etc. (46A50)
Related Items
Asymptotic linear stability of solitary water waves, The Kolmogorov-Riesz compactness theorem, On the scattering of subcritical defocusing generalized Korteweg-de Vries equation, Some remarks concerning the spaces of multipliers and convolutors, \({\mathcal{O}_M}\) and \(\mathcal{O}^\prime_C\), of Laurent Schwartz, Compactness in the spaces of variable integrability and summability, Translation beyond Delsarte, Spectral Properties of the logarithmic Laplacian, Global well-posedness for \(H^{-1}(\mathbb{R})\) perturbations of KdV with exotic spatial asymptotics, Well-posedness of dispersion managed nonlinear Schrödinger equations, Fourier transform and compactness in \((L^{q},l^{p})^{\alpha}\) and \(M^{p,\alpha}\) spaces, On relatively compact sets in quasi-Banach function spaces, Characterization for stability in planar conductivities, Characterizing compact families via the Laplace transform, Nonlocal operators of order near zero, Spectral properties of the logarithmic Laplacian, Multilinear Fourier multipliers related to time-frequency localization, Instability of solitary waves for a generalized Benney-Luke equation, The scattering of fractional Schrödinger operators with short range potentials, Compactness results for a class of limiting interpolation methods, Pego everywhere, The concertina pattern. From micromagnetics to domain theory, Almost everything you need to know about relatively compact sets in variable Lebesgue spaces, From Arzelà-Ascoli to Riesz-Kolmogorov, Time-frequency concentration of generating systems, Compactness criteria via Laguerre and Hankel transformations, Precompact sets in Bochner-Lebesgue spaces with variable exponent, Dispersion dynamics for the defocusing generalized Korteweg-de Vries equation, Banach function spaces on locally compact groups, Multilinear Localization Operators Associated to Quaternion Fourier Transforms, Gordon's Conjecture 3: Fourier transforms in the hyperfinite setting