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Keywords = endpoint Sobolev regularity

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19 pages, 309 KiB  
Article
Sobolev Regularity of Multilinear Fractional Maximal Operators on Infinite Connected Graphs
by Suying Liu and Feng Liu
Mathematics 2021, 9(22), 2883; https://doi.org/10.3390/math9222883 - 12 Nov 2021
Viewed by 1798
Abstract
Let G be an infinite connected graph. We introduce two kinds of multilinear fractional maximal operators on G. By assuming that the graph G satisfies certain geometric conditions, we establish the bounds for the above operators on the endpoint Sobolev spaces and [...] Read more.
Let G be an infinite connected graph. We introduce two kinds of multilinear fractional maximal operators on G. By assuming that the graph G satisfies certain geometric conditions, we establish the bounds for the above operators on the endpoint Sobolev spaces and Hajłasz–Sobolev spaces on G. Full article
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