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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Bibliographic Details
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
Description
Summary: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.
ISSN:1029-242X

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