Fourier integrals and Sobolev embedding on rearrangement invariant quasi-Banach function spaces

DOI10.5186/aasfm.2016.4157zbMath1355.42020OpenAlexW2418949204MaRDI QIDQ5739344

Kwok-Pun Ho

Publication date: 15 July 2016

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2016.4157

zbMATH Keywords

Triebel-Lizorkin spacesHardy spacesinterpolation of operatorsconvolution operatorsFourier integral operatorsoscillatory integralsSobolev embeddingfractional integral operatorsrestriction theoremrearrangement invariancequasi-Banach function spacesHausdorff-Young inequalities

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) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) (H^p)-spaces (42B30) Interpolation between normed linear spaces (46B70) Fourier integral operators applied to PDEs (35S30)

Related Items (17)

Weak martingale Hardy-type spaces associated with quasi-Banach function lattice ⋮ Linear operators, Fourier integral operators and \(k\)-plane transforms on rearrangement-invariant quasi-Banach function spaces ⋮ Young's inequalities and Hausdorff-Young inequalities on Herz spaces ⋮ A generalization of Boyd's interpolation theorem ⋮ FOURIER-TYPE TRANSFORMS ON REARRANGEMENT-INVARIANT QUASI-BANACH FUNCTION SPACES ⋮ Hardy's inequalities and integral operators on Herz-Morrey spaces ⋮ Martingale transforms and fractional integrals on rearrangement-invariant martingale Hardy spaces ⋮ Maximal Estimates of Schrödinger Equations on Rearrangement Invariant Sobolev Spaces ⋮ Fractional integral operators on Borel-Morrey spaces with q ≤ p ⋮ B-valued martingale Hardy-Lorentz-Karamata spaces ⋮ Dilation operators and integral operators on amalgam space \((L_p,l_q)\) ⋮ Fractional integral operators on Morrey spaces built on rearrangement-invariant quasi-Banach function spaces ⋮ Poincaré-Sobolev inequalities with rearrangement-invariant norms on the entire space ⋮ Interpolation of sublinear operators which map into Riesz spaces and applications ⋮ Martingale inequalities on Hardy-Lorentz-Karamata spaces ⋮ Fractional integral operators with homogeneous kernels on generalized Lorentz-Morrey spaces ⋮ Atomic decompositions of martingale Hardy-Lorentz spaces and interpolation

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