Interpolation of linear operators on Sobolev spaces

From MaRDI portal
Publication:1133726

DOI10.2307/1971227zbMath0422.46028OpenAlexW2313342620MaRDI QIDQ1133726

Karl Scherer, Ronald A. DeVore

Publication date: 1979

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/21a64ff120cd4e242faa0077d7957c218755993d




Related Items (35)

Equivalence of K-functionals and moduli of smoothness generated by the Beltrami-Laplace operator on the spaces \(S^{(p,q)}(\sigma^{m-1})\)Fourier Type and Complex InterpolationErratum to: ``Quadratic mixed finite element approximations of the Monge-Ampère equation in 2DNeural network approximationEndpoint estimates from restricted rearrangement inequalities.Compactness of Sobolev-type embeddings with measuresCharacterization of embeddings of Sobolev-type spaces into generalized Hölder spaces defined by \(L^{p}\)-modulus of smoothnessOptimal rearrangement invariant Sobolev embeddings in mixed norm spaces\(L^p\) regularity theory for even order elliptic systems with antisymmetric first order potentialsA note on \(K\)-functional, modulus of smoothness, Jackson theorem and Bernstein-Nikolskii-Stechkin inequality on Damek-Ricci spacesNew estimates for the maximal functions and applicationsSymmetrization inequalities in the fractional case and Besov embeddingsDirichlet problems for second order linear elliptic equations with \(L^1 \)-dataSobolev spaces on multiple conesAn equivalence theorem for a $K$-functional constructed by Beltrami-Laplace operator on symmetric spaces\(K\)-functionals for Besov spacesSymmetric gradient Sobolev spaces endowed with rearrangement-invariant normsInterpolation orbits and optimal Sobolev's embeddingsBoundary trace inequalities and rearrangementsSobolev, Besov and Triebel-Lizorkin Spaces on Quantum ToriFourier integrals and Sobolev embedding on rearrangement invariant quasi-Banach function spacesSobolev embeddings, rearrangement-invariant spaces and Frostman measuresOptimality of Function Spaces in Sobolev EmbeddingsFunction spaces on quantum toriSome consequences of Pisier's approach to interpolationReal interpolation of Sobolev spaces associated to a weightOn the Strichartz estimates for orthonormal systems of initial data with regularityReiteration theorems for real interpolation and approximation spacesRegularity of weak solutions to higher order elliptic systems in critical dimensionsOptimal Sobolev imbeddingsEmbeddings of Sobolev-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothnessSome results of bernstein and jackson type for polynomial approximation inL p-spacesRégularité $W_0^{1,p} \left(2 < p < +\infty \right)$ de la solution d'un problème unilatéralRemovable singularities and boundary traces.Interpolation of subcouples and quotient couples




This page was built for publication: Interpolation of linear operators on Sobolev spaces