Frontiers of Mathematics in China >

2018 , Vol. 13 >Issue 1: 1 - 24

DOI: https://doi.org/10.1007/s11464-017-0677-5

RESEARCH ARTICLE

Bounds of weighted multilinear Hardy-Cesàro operators in p-adic functional spaces

  • Nguyen Minh CHUONG 1 ,
  • Nguyen Thi HONG 2 ,
  • Ha Duy HUNG , 3
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  • 1. Institute of Mathematics, Vietnamese Academy of Science and Technology, Hanoi, Vietnam
  • 2. Hanoi Metropolitan University, 98 Duong Quang Ham, Hanoi, Vietnam
  • 3. Applied Analysis Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

Received date: 19 Jun 2017

Accepted date: 01 Nov 2017

Published date: 12 Jan 2018

Copyright

2017 Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature
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Abstract

We introduce the p-adic weighted multilinear Hardy-Cesàro operator. We also obtain the necessary and sufficient conditions on weight functions to ensure the boundedness of that operator on the product of Lebesgue spaces, Morrey spaces, and central bounded mean oscillation spaces. In each case, we obtain the corresponding operator norms. We also characterize the good weights for the boundedness of the commutator of weighted multilinear Hardy-Cesàro operator on the product of central Morrey spaces with symbols in central bounded mean oscillation spaces.

Key words： Weighted multilinear Hardy-Cesàro operator; bounded mean oscillation (BMO); commutator; p-adic analysis

Cite this article

Nguyen Minh CHUONG , Nguyen Thi HONG , Ha Duy HUNG . Bounds of weighted multilinear Hardy-Cesàro operators in p-adic functional spaces[J]. Frontiers of Mathematics in China, 2018 , 13(1) : 1 -24 . DOI: 10.1007/s11464-017-0677-5

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