Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2019; 56(3): 767-787

Online first article February 7, 2019      Printed May 1, 2019

https://doi.org/10.4134/JKMS.j180390

Copyright © The Korean Mathematical Society.

Characterizations of $p$-adic central Campanato spaces via commutator of $p$-adic Hardy type operators

Qianjun He, Mingquan Wei, Dunyan Yan

University of Chinese Academy of Sciences; Xinyang Normal University; University of Chinese Academy of Sciences

Abstract

In this paper, we give some characterizations of $p$-adic central Campanato spaces via the boundedness of commutators of $p$-adic Hardy type operators. Besides, some further boundedness of $p$-adic Hardy operators and their commutators is also presented.

Keywords: $p$-adic central Campanato space, $p$-adic Hardy operator, commu\-tator

MSC numbers: Primary 42B20; Secondary 42B35

Supported by: The work is supported by NSFC (No.11471309, 11271162 and 11561062), Project of Henan Provincial Department of Education (No.18A110028), the Nanhu Scholar Program for Young Scholars of XYNU.

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