Open Access
2014 Weighted Morrey Estimates for Multilinear Fourier Multiplier Operators
Songbai Wang, Yinsheng Jiang, Peng Li
Abstr. Appl. Anal. 2014: 1-10 (2014). DOI: 10.1155/2014/570450


The multilinear Fourier multipliers and their commutators with Sobolev regularity are studied. The purpose of this paper is to establish that these operators are bounded on certain product Morrey spaces Lp,k(n). Based on the boundedness of these operators from Lp1(ω1)××Lpm(ωm) to Lp(j=1mωp/pj), we obtained that they are also bounded from Lp1,k(ω1)××Lpm,k(ωm) to Lp,k(j=1mωp/pj), with 0<k<1, 1<pj<, 1/p=1/p1++1/pm, and ωjApj,j=1,,m.


Download Citation

Songbai Wang. Yinsheng Jiang. Peng Li. "Weighted Morrey Estimates for Multilinear Fourier Multiplier Operators." Abstr. Appl. Anal. 2014 1 - 10, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022632
MathSciNet: MR3193524
Digital Object Identifier: 10.1155/2014/570450

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
Back to Top