Spectral multipliers on spaces of distributions associated with non-negative self-adjoint operators

DOI10.1016/j.jat.2018.04.013zbMath1398.58008OpenAlexW2801172294WikidataQ125703169 ScholiaQ125703169MaRDI QIDQ723762

Athanasios G. Georgiadis, Morten Nielsen

Publication date: 24 July 2018

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2018.04.013

zbMATH Keywords

Sobolev spacesTriebel-Lizorkin spacesdistributionsHardy spacesBesov spacesspaces of homogeneous typeLipschitz spacesequivalent normsdoubling propertyself-adjoint operatorsspectral multipliers

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic analysis on homogeneous spaces (43A85) Pseudodifferential and Fourier integral operators on manifolds (58J40) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Heat and other parabolic equation methods for PDEs on manifolds (58J35) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (6)

Anisotropic ball Campanato-type function spaces and their applications ⋮ The Mihlin multiplier theorem on anisotropic mixed-norm Hardy spaces ⋮ Duals of Besov and Triebel-Lizorkin spaces associated with operators ⋮ Equivalent quasi-norms in Besov and Triebel-Lizorkin spaces on Lie groups of polynomial growth ⋮ Embeddings between Triebel-Lizorkin spaces on metric spaces associated with operators ⋮ Wavelet characterization of Triebel-Lizorkin spaces for \(p = \infty\) on spaces of homogeneous type and its applications

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