Compact embeddings of Bessel-potential-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness

DOI10.4171/ZAA/1421zbMath1213.46029MaRDI QIDQ628813

Júlio S. Neves, Amiran Gogatishvili, Bohumír Opic

Publication date: 7 March 2011

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

embedding theoremsslowly varying functionsrearrangement-invariant Banach function spacesBessel potentials(fractional) Sobolev-type spacesgeneralized Hölder-type spacesLorentz-Karamata 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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Lipschitz (Hölder) classes (26A16) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items

Optimal Calderón spaces for generalized Bessel potentials, Continuous and Compact Embeddings of Bessel-Potential-Type Spaces, Estimates of the uniform modulus of continuity for Bessel potentials, Estimates for continuity envelopes and approximation numbers of Bessel potentials, Optimal Calderon spaces for generalized Bessel potentials, Optimal embedding and sharp estimates of the continuity envelope for generalized Bessel potentials, Estimation of the uniform modulus of continuity of the generalized Bessel potential, Optimal calderon space for Bessel potentials, Embeddings of Sobolev-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness

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