Regularity for commutators of the local multilinear fractional maximal operators

Xiao Zhang; Feng Liu

doi:10.1515/anona-2020-0162

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Regularity for commutators of the local multilinear fractional maximal operators

Authors

Zhang, Xiao¹
Liu, Feng¹

¹ Shandong University of Science and Technology, Shandong 266590 , (China)

Type

Published Article

Journal

Advances in Nonlinear Analysis

Publisher

De Gruyter

Publication Date

Dec 08, 2020

Volume

10

Issue

1

Pages

849–876

Identifiers

DOI: 10.1515/anona-2020-0162

Source

De Gruyter

Keywords

42B25
46E35

License

Green

Abstract

In this paper we introduce and study the commutators of the local multilinear fractional maximal operators and a vector-valued function b⃗ = (b1, …, bm). Under the condition that each bi belongs to the first order Sobolev spaces, the bounds for the above commutators are established on the first order Sobolev spaces.

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