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Mapping properties of maximal operators on infinite connected graphs

发布日期:2024-05-18  来源:   点击量:

摘要:

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

作者:

Zhang Xiao, Liu Feng, Zhang Huiyun.

链接:

https://files.ele-math.com/articles/jmi-15-111.pdf