Commutators with fractional differentiation for second-order elliptic operators on ℝn-Reference-Cited by-同舟云学术

Commutators with fractional differentiation for second-order elliptic operators on ℝn

Published:2019-02-28 Issue:02 Volume:22 Page:1950010
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Chen Yanping¹,Deng Qingquan²,Ding Yong³

Affiliation:

1. Department of Applied Mathematics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, P. R. China

2. Hubei Key Laboratory of Mathematical Science, School of Mathematics and Statistics, Huazhong Normal University, Wuhan 430079, P. R. China

3. Laboratory of Mathematics and Complex Systems (BNU), School of Mathematical Sciences, Ministry of Education, Beijing Normal University, Beijing 100875, P. R. China

Abstract

Let [Formula: see text] be a second-order divergence form elliptic operator and [Formula: see text] an accretive, [Formula: see text] matrix with bounded measurable complex coefficients in [Formula: see text] In this paper, we establish [Formula: see text] theory for the commutators generated by the fractional differential operators related to [Formula: see text] and bounded mean oscillation (BMO)–Sobolev functions.

Funder

NSF of China

NCET of China

NSFC

SRFDP of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021919971950010X

Reference34 articles.