Bounds of weighted multilinear Hardy-Cesàro operators in <i>p</i>-adic functional spaces

doi:10.1007/s11464-017-0677-5

Front. Math. China

2018, Vol. 13

Issue (1) : 1-24 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 CHUONG¹, Nguyen Thi HONG², Ha Duy HUNG³(

)

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

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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.

Keywords Weighted multilinear Hardy-Cesàro operator bounded mean oscillation (BMO) commutator p-adic analysis

Corresponding Author(s): Ha Duy HUNG

Issue Date: 12 January 2018

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]. Front. Math. China, 2018, 13(1): 1-24.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-017-0677-5
https://academic.hep.com.cn/fmc/EN/Y2018/V13/I1/1

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