Characterizations of \(K\)-functionals built from fractional powers of infinitesimal generators of semigroups

DOI10.1007/S00365-002-0511-4zbMath1030.41021OpenAlexW1482521522MaRDI QIDQ1404479

U. Westphal, Walter Trebels

Publication date: 21 August 2003

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-002-0511-4

zbMATH Keywords

resolventssaturationsemigroups of operators\(K\)-functionalsfractional powers of infinitesimal generatorstruncated hypersingular integrals

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Interpolation between normed linear spaces (46B70) Rate of convergence, degree of approximation (41A25) (C)-semigroups, regularized semigroups (47D60)

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Exterior Dirichlet and Neumann problems and the linked ergodic inverse problems in the entire space ⋮ Generalized Jacobi-Weierstrass operators and Jacobi expansions ⋮ Characterizations of logarithmic Besov spaces in terms of differences, Fourier-analytical decompositions, wavelets and semi-groups ⋮ On Ulyanov inequalities in Banach spaces and semigroups of linear operators ⋮ Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations

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