Sobolev-Jawerth embedding of Triebel-Lizorkin-Morrey-Lorentz spaces and fractional integral operator on Hardy type spaces

DOI10.1002/mana.201300217zbMath1314.46043OpenAlexW2165883976MaRDI QIDQ2929427

Kwok-Pun Ho

Publication date: 12 November 2014

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201300217

zbMATH Keywords

Triebel-Lizorkin spacesMorrey spacesLorentz spacesSobolev embeddingfractional integral operatorHardy-Morrey spaces

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) 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) Linear operators on function spaces (general) (47B38) (H^p)-spaces (42B30)

Related Items (12)

Boundedness of operators and inequalities on Morrey-Banach spaces ⋮ Riesz potential in the local Morrey-Lorentz spaces and some applications ⋮ Definability of singular integral operators on Morrey-Banach spaces ⋮ Sharp bounds for Hardy-type operators on mixed radial-angular central Morrey spaces ⋮ Weak type estimates of singular integral operators on Morrey-Banach spaces ⋮ Atomic decompositions and Hardy's inequality on weak Hardy-Morrey spaces ⋮ Fourier integrals and Sobolev embedding on rearrangement invariant quasi-Banach function spaces ⋮ Partial regularity for fractional harmonic maps into spheres ⋮ Fractional integral operators with homogeneous kernels on generalized Lorentz-Morrey spaces ⋮ Approximation in vanishing rearrangement-invariant Morrey spaces and applications ⋮ Regularity of weak solutions to higher order elliptic systems in critical dimensions ⋮ \(L^p\)-regularity for fourth order elliptic systems with antisymmetric potentials in higher dimensions

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