Characterizations for the Fractional Integral Operators in Generalized Morrey Spaces on Carnot Groups

Please use this identifier to cite or link to this item: http://hdl.handle.net/20.500.12323/4671

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DC Field	Value	Language
dc.contributor.author	Eroglu, A.	-
dc.contributor.author	Guliyev, V.S.	-
dc.contributor.author	Azizov, J.V.	-
dc.date.accessioned	2020-08-09T08:53:08Z	-
dc.date.available	2020-08-09T08:53:08Z	-
dc.date.issued	2017	-
dc.identifier.citation	Mathematical Notes	en_US
dc.identifier.issn	0001-4346	-
dc.identifier.uri	http://hdl.handle.net/20.500.12323/4671	-
dc.description.abstract	In this paper we study the boundedness of the fractional integral operator Iα on Carnot group G in the generalized Morrey spaces Mp,ϕ(G). We shall give a characterization for the strong and weak type boundedness of Iα on the generalized Morrey spaces, respectively. As applications of the properties of the fundamental solution of sub-Laplacian L on G, we prove two Sobolev–Stein embedding theorems on generalized Morrey spaces in the Carnot group setting.	en_US
dc.language.iso	en	en_US
dc.publisher	Pleiades Publishing, Ltd.	en_US
dc.relation.ispartofseries	Vol. 102;№ 5	-
dc.subject	Carnot group	en_US
dc.subject	fractional integral operator	en_US
dc.subject	generalized Morrey space	en_US
dc.title	Characterizations for the Fractional Integral Operators in Generalized Morrey Spaces on Carnot Groups	en_US
dc.type	Article	en_US
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