Bilinear Fourier Multiplier Operator on Morrey Spaces

被引：1

作者：

Yulan JIAO ^{[1
]}

机构：

[1] School of Science, University of Information Engineering

来源：

Journal of Mathematical Research with Applications | 2014年 / 34卷 / 06期

关键词：

bilinear Fourier multiplier; Morrey space; weighted norm inequality;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

In this paper, by establishing a result concerning the mapping properties for bi(sub)linear operators on Morrey spaces, and the weighted estimates with general weights for the bilinear Fourier multiplier, the author establishes some results concerning the behavior on the product of Morrey spaces for bilinear Fourier multiplier operator with associated multiplierσ satisfying certain Sobolev regularity.

引用

页码：703 / 712

页数：10

共 50 条

[1] COMPACTNESS OF THE COMMUTATOR OF BILINEAR FOURIER MULTIPLIER OPERATOR
Hu, Guoen
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2014, 18 (02): : 661 - 675
[2] Weighted Compact Commutator of Bilinear Fourier Multiplier Operator
Guoen HU
[J]. Chinese Annals of Mathematics,Series B, 2017, (03) : 795 - 814
[3] Weighted Compact Commutator of Bilinear Fourier Multiplier Operator
Hu, Guoen
[J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 2017, 38 (03) : 795 - 814
[4] Weighted compact commutator of bilinear Fourier multiplier operator
Guoen Hu
[J]. Chinese Annals of Mathematics, Series B, 2017, 38 : 795 - 814
[5] A NOTE ON THE BILINEAR FRACTIONAL INTEGRAL OPERATOR ACTING ON MORREY SPACES
Hatano, Naoya
Sawano, Yoshihiro
[J]. TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2019, 173 (03) : 37 - 44
[6] BILINEAR FOURIER MULTIPLIER OPERATORS ON VARIABLE TRIEBEL SPACES
Liu, Yin
Zhao, Jiman
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2019, 22 (02): : 677 - 690
[7] The boundedness of bilinear Fourier multiplier operators in Besov spaces with variable exponents
Y. Liu
[J]. Acta Mathematica Hungarica, 2021, 164 : 484 - 498
[8] THE BOUNDEDNESS OF BILINEAR FOURIER MULTIPLIER OPERATORS IN BESOV SPACES WITH VARIABLE EXPONENTS
Liu, Y.
[J]. ACTA MATHEMATICA HUNGARICA, 2021, 164 (02) : 484 - 498
[9] Operator-valued Fourier multiplier theorems on Besov spaces
Girardi, M
Weis, L
[J]. MATHEMATISCHE NACHRICHTEN, 2003, 251 : 34 - 51
[10] MORREY-TYPE BANACH SPACES, MAXIMAL OPERATOR AND FOURIER MULTIPLIERS
Guliyev, Vagif S.
Wu, Zhijian
Xiao, Ying
[J]. PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2014, 40 (01): : 3 - 13

← 1 2 3 4 5 →