Smoothing properties of the discrete fractional maximal operator on Besov and Triebel-Lizorkin spaces

DOI10.5565/PUBLMAT_58214_19zbMath1295.42004arXiv1301.4819OpenAlexW1975152832WikidataQ110225115 ScholiaQ110225115MaRDI QIDQ400702

Heli Tuominen, Toni Heikkinen

Publication date: 22 August 2014

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.4819

zbMATH Keywords

Besov spacemetric measure spaceTriebel-Lizorkin spacefractional Sobolev spacefractional maximal function

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

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The Besov capacity in metric spaces, Pointwise characterization of Besov and Triebel–Lizorkin spaces on spaces of homogeneous type, Approximation and quasicontinuity of Besov and Triebel–Lizorkin functions, Fractional maximal functions in metric measure spaces, Beyond local maximal operators, Regularity of the local fractional maximal function, Approximation by Hölder functions in Besov and Triebel-Lizorkin spaces, Mapping properties of multilinear fractional maximal operators in metric measure spaces, Mapping properties of maximal operators on infinite connected graphs