Sobolev Regularity of Multilinear Fractional Maximal Operators on Infinite Connected Graphs

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...

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Main Authors:	Suying Liu, Feng Liu
Format:	article
Language:	EN
Published:	MDPI AG 2021
Subjects:	infinite connected graph multilinear fractional maximal operator endpoint Sobolev regularity Hajłasz–Sobolev space Mathematics QA1-939
Online Access:	https://doaj.org/article/35d4e113c42c4a068e6a75e2741df6b2
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spelling	oai:doaj.org-article:35d4e113c42c4a068e6a75e2741df6b22021-11-25T18:16:49ZSobolev Regularity of Multilinear Fractional Maximal Operators on Infinite Connected Graphs10.3390/math92228832227-7390https://doaj.org/article/35d4e113c42c4a068e6a75e2741df6b22021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2883https://doaj.org/toc/2227-7390Let <i>G</i> be an infinite connected graph. We introduce two kinds of multilinear fractional maximal operators on <i>G</i>. By assuming that the graph <i>G</i> satisfies certain geometric conditions, we establish the bounds for the above operators on the endpoint Sobolev spaces and Hajłasz–Sobolev spaces on <i>G</i>.Suying LiuFeng LiuMDPI AGarticleinfinite connected graphmultilinear fractional maximal operatorendpoint Sobolev regularityHajłasz–Sobolev spaceMathematicsQA1-939ENMathematics, Vol 9, Iss 2883, p 2883 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	infinite connected graph multilinear fractional maximal operator endpoint Sobolev regularity Hajłasz–Sobolev space Mathematics QA1-939
spellingShingle	infinite connected graph multilinear fractional maximal operator endpoint Sobolev regularity Hajłasz–Sobolev space Mathematics QA1-939 Suying Liu Feng Liu Sobolev Regularity of Multilinear Fractional Maximal Operators on Infinite Connected Graphs
description	Let <i>G</i> be an infinite connected graph. We introduce two kinds of multilinear fractional maximal operators on <i>G</i>. By assuming that the graph <i>G</i> satisfies certain geometric conditions, we establish the bounds for the above operators on the endpoint Sobolev spaces and Hajłasz–Sobolev spaces on <i>G</i>.
format	article
author	Suying Liu Feng Liu
author_facet	Suying Liu Feng Liu
author_sort	Suying Liu
title	Sobolev Regularity of Multilinear Fractional Maximal Operators on Infinite Connected Graphs
title_short	Sobolev Regularity of Multilinear Fractional Maximal Operators on Infinite Connected Graphs
title_full	Sobolev Regularity of Multilinear Fractional Maximal Operators on Infinite Connected Graphs
title_fullStr	Sobolev Regularity of Multilinear Fractional Maximal Operators on Infinite Connected Graphs
title_full_unstemmed	Sobolev Regularity of Multilinear Fractional Maximal Operators on Infinite Connected Graphs
title_sort	sobolev regularity of multilinear fractional maximal operators on infinite connected graphs
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/35d4e113c42c4a068e6a75e2741df6b2
work_keys_str_mv	AT suyingliu sobolevregularityofmultilinearfractionalmaximaloperatorsoninfiniteconnectedgraphs AT fengliu sobolevregularityofmultilinearfractionalmaximaloperatorsoninfiniteconnectedgraphs
_version_	1718411372830654464

Sobolev Regularity of Multilinear Fractional Maximal Operators on Infinite Connected Graphs

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