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21 p, 360.3 KB 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)
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. [...]
2014 - 10.5565/PUBLMAT_58214_19
Publicacions matemàtiques, Vol. 58, Núm. 2 (2014) , p. 379-399  

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