Smoothing properties of the discrete fractional maximal operator on Besov and Triebel-Lizorkin spaces
Heikkinen, Toni (Aalto University. Department of Mathematics (Aalto, Finlàndia))
Tuominen, Heli (University of Jyväskylä. Department of Mathematics and Statistics)

Date:	2014
Abstract:	Motivated by the results of Korry, and Kinnunen and Saksman, we study the behaviour of the discrete fractional maximal operator on fractional Hajlasz spaces, Hajlasz-Besov, and Hajlasz-Triebel-Lizorkin spaces on metric measure spaces. We show that the discrete fractional maximal operator maps these spaces to the spaces of the same type with higher smoothness. Our results extend and unify aforementioned results. We present our results in a general setting, but they are new already in the Euclidean case.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Besov space ; Fractional maximal function ; Fractional Sobolev space ; Triebel-Lizorkin space ; Metric measure space
Published in:	Publicacions matemàtiques, Vol. 58, Núm. 2 (2014) , p. 379-399, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/287182
DOI: 10.5565/PUBLMAT_58214_19

21 p, 360.3 KB

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