Mapping properties of maximal operators on infinite connected graphs

Xiao Zhang, Feng Liu, Hui un Zhang

Type: Article

Publication Date: 2021-01-01

Citations: 0

DOI: https://doi.org/10.7153/jmi-2021-15-111

Abstract

In this paper, we introduce Morrey, Hölder, Lipschitz and Campanato spaces on infinite connected graphs.We establish the boundedness of the Hardy-Littlewood maximal operator and its fractional variants on the above function spaces under certain conditions on graphs.The relations between Hölder spaces and Campanato spaces will be also investigated.

Locations

Journal of Mathematical Inequalities - View - PDF

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+	Function Spaces and Potential Theory	1996	David R. Adams Lars Inge Hedberg
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+ PDF Chat	Pointwise ergodic theorems for arithmetic sets	1989	Jean Bourgain
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