The existence and boundedness of linear and multilinear Marcinkiewicz integrals on central Campanato spaces

The existence and boundedness of linear and multilinear Marcinkiewicz integrals on central Campanato spaces

Abstract In this paper, we obtain the existence and boundedness of Marcinkiewicz integrals with homogeneous kernels on central Campanato spaces. Moreover, the existence and boundedness of multilinear Marcinkiewicz integrals on central Campanato spaces are also deduced. We extend various previous res...

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Main Authors: Jiao Ma, Mingquan Wei, Dunyan Yan
Format: Article
Language:English
Published: SpringerOpen 2020-07-01
Series:Journal of Inequalities and Applications
Subjects:
Marcinkiewicz integral
Homogeneous kernels
Central Campanato spaces
Online Access:http://link.springer.com/article/10.1186/s13660-020-02461-2
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spelling doaj-ee5b5415978e444dae3df4e737b553202020-11-25T03:18:49ZengSpringerOpenJournal of Inequalities and Applications1029-242X2020-07-012020111810.1186/s13660-020-02461-2The existence and boundedness of linear and multilinear Marcinkiewicz integrals on central Campanato spacesJiao Ma0Mingquan Wei1Dunyan Yan2School of Mathematics, University of Chinese Academy of SciencesSchool of Mathematics and Statistics, Xinyang Normal UniversitySchool of Mathematics, University of Chinese Academy of SciencesAbstract In this paper, we obtain the existence and boundedness of Marcinkiewicz integrals with homogeneous kernels on central Campanato spaces. Moreover, the existence and boundedness of multilinear Marcinkiewicz integrals on central Campanato spaces are also deduced. We extend various previous results to central Campanato spaces which can be seen as the local version of Campanato spaces.http://link.springer.com/article/10.1186/s13660-020-02461-2Marcinkiewicz integralHomogeneous kernelsCentral Campanato spaces
collection DOAJ
language English
format Article
sources DOAJ
author Jiao Ma
Mingquan Wei
Dunyan Yan
spellingShingle Jiao Ma
Mingquan Wei
Dunyan Yan
The existence and boundedness of linear and multilinear Marcinkiewicz integrals on central Campanato spaces
Journal of Inequalities and Applications
Marcinkiewicz integral
Homogeneous kernels
Central Campanato spaces
author_facet Jiao Ma
Mingquan Wei
Dunyan Yan
author_sort Jiao Ma
title The existence and boundedness of linear and multilinear Marcinkiewicz integrals on central Campanato spaces
title_short The existence and boundedness of linear and multilinear Marcinkiewicz integrals on central Campanato spaces
title_full The existence and boundedness of linear and multilinear Marcinkiewicz integrals on central Campanato spaces
title_fullStr The existence and boundedness of linear and multilinear Marcinkiewicz integrals on central Campanato spaces
title_full_unstemmed The existence and boundedness of linear and multilinear Marcinkiewicz integrals on central Campanato spaces
title_sort existence and boundedness of linear and multilinear marcinkiewicz integrals on central campanato spaces
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1029-242X
publishDate 2020-07-01
description Abstract In this paper, we obtain the existence and boundedness of Marcinkiewicz integrals with homogeneous kernels on central Campanato spaces. Moreover, the existence and boundedness of multilinear Marcinkiewicz integrals on central Campanato spaces are also deduced. We extend various previous results to central Campanato spaces which can be seen as the local version of Campanato spaces.
topic Marcinkiewicz integral
Homogeneous kernels
Central Campanato spaces
url http://link.springer.com/article/10.1186/s13660-020-02461-2
work_keys_str_mv AT jiaoma theexistenceandboundednessoflinearandmultilinearmarcinkiewiczintegralsoncentralcampanatospaces
AT mingquanwei theexistenceandboundednessoflinearandmultilinearmarcinkiewiczintegralsoncentralcampanatospaces
AT dunyanyan theexistenceandboundednessoflinearandmultilinearmarcinkiewiczintegralsoncentralcampanatospaces
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AT mingquanwei existenceandboundednessoflinearandmultilinearmarcinkiewiczintegralsoncentralcampanatospaces
AT dunyanyan existenceandboundednessoflinearandmultilinearmarcinkiewiczintegralsoncentralcampanatospaces
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