Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces

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Title: Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces
Authors: Ruzhansky, M
Suragan, D
Yessirkegenov, N
Item Type: Journal Article
Abstract: We analyse Morrey spaces, generalised Morrey spaces and Campanato spaces on homogeneous groups. The boundedness of the Hardy-Littlewood maximal operator, Bessel-Riesz operators, generalised Bessel-Riesz operators and generalised fractional integral operators in generalised Morrey spaces on homogeneous groups is shown. Moreover, we prove the boundedness of the modified version of the generalised fractional integral operator and Olsen type inequalities in Campanato spaces and generalised Morrey spaces on homogeneous groups, respectively. Our results extend results known in the isotropic Euclidean settings, however, some of them are new already in the standard Euclidean cases.
Issue Date: 1-Jun-2018
Date of Acceptance: 18-Apr-2018
URI: http://hdl.handle.net/10044/1/59219
ISSN: 1311-0454
Publisher: De Gruyter
Journal / Book Title: Fractional Calculus and Applied Analysis
Copyright Statement: © 2018 The Authors.
Keywords: math.FA
0102 Applied Mathematics
Notes: 29 pages
Publication Status: Accepted
Embargo Date: publication subject to indefinite embargo
Appears in Collections:Pure Mathematics
Mathematics
Faculty of Natural Sciences



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