Home
Recent Issues
Volume 52	1
Volume 51	1	2	3	4
Volume 50	1	2	3	4
Volume 49	1	2	3	4
Volume 48	1	2	3	4
Past Issues
The Journal
Cover
Aims and Scope
Subscription Information
Editorial Board
Instructions for Author
Contact Us

Vietnam Journal of Mathematics 35:3(2007) 267-273

 Weighted Inequalities for Commutators of Singular Integral Operators and Interior Estimates in

Morrey Spaces for Solutions of Elliptic Equations

Zhou Xiaosha

Abstract.  In this paper, the weighted inequalities for the commutators of some singular integral operators on the Morrey spaces L^p,φ(ω) are obtained. As an application, it is proved that, for the nondivergence elliptic equations , if f belongs to L^p,φ(ω), then u_xixj L^p,φ(ω), where u is the W^2,p-solution of the equations.

2000 Mathematics Subject Classification: 42B20, 42B25, 35A.

Keywords: Commutator of singular integral operator; Morrey space; Nondivergence elliptic equation; A_p weight.

Established by Vietnam Academy of Science and Technology & Vietnam Mathematical Society

Published by Springer since January 2013