THE BOUNDEDNESS OF MULTILINEAR COMMUTATORS ON WEIGHTED SPACES#br#
AND HERZ-TYPE SPACES

doi:10.1016/S0252-9602(07)60036-8

数学物理学报(英文版)

THE BOUNDEDNESS OF MULTILINEAR COMMUTATORS ON WEIGHTED SPACES#br# AND HERZ-TYPE SPACES

周伟军; 马柏林; 徐景实

长沙理工大学数学与计算科学学院, 长沙 410077

收稿日期:2004-12-24 修回日期:2005-08-20 出版日期:2007-04-20 发布日期:2007-04-20
通讯作者: 周伟军
基金资助:
The second author was supported by NNSF of China (10371004) and
the third author was supported by the NNSF of China (60474070)

THE BOUNDEDNESS OF MULTILINEAR COMMUTATORS ON WEIGHTED SPACES#br# AND HERZ-TYPE SPACES

Zhou Weijun; Ma Bolin; Xu Jingshi

College of Mathematics and Computational Science, Changsha University of Science and Technology, Changsha 410077, China

Received:2004-12-24 Revised:2005-08-20 Online:2007-04-20 Published:2007-04-20
Contact: Zhou Weijun

摘要/Abstract

摘要：

The boundedness of maximal multilinear commutator on certain weighted spaces is obtained. The boundedness of mulitilinear commutators of singular integrals with Calderon--Zygmund kernel on Herz-type spaces is also considered.

关键词: Commutator, maximal operator, Herz space, singular integral

Abstract:

Key words: Commutator, maximal operator, Herz space, singular integral

中图分类号:

42B35

周伟军; 马柏林; 徐景实. THE BOUNDEDNESS OF MULTILINEAR COMMUTATORS ON WEIGHTED SPACES#br# AND HERZ-TYPE SPACES[J]. 数学物理学报(英文版), 2007, 27(2): 361-372.

Zhou Weijun; Ma Bolin; Xu Jingshi. THE BOUNDEDNESS OF MULTILINEAR COMMUTATORS ON WEIGHTED SPACES#br# AND HERZ-TYPE SPACES[J]. Acta mathematica scientia,Series B, 2007, 27(2): 361-372.

[1]	Qixiang YANG, Haibo YANG, Chitin HON, Tao QIAN. $L^P$ BOUNDEDNESS OF COMMUTATOR AND HÖRMANDER CONDITION[J]. 数学物理学报(英文版), 2025, 45(5): 2171-2189.
[2]	BenMahmoud SALAH. COMMUTATOR ESTIMATES FOR VECTOR FIELDS ON BESOV SPACES WITH VARIABLE SMOOTHNESS AND INTEGRABILITY[J]. 数学物理学报(英文版), 2025, 45(3): 771-788.
[3]	Minh-Phuong TRAN, The-Quang TRAN, Thanh-Nhan NGUYEN. GLOBAL BOUND ON THE GRADIENT OF SOLUTIONS TO ${p}$-LAPLACE TYPE EQUATIONS WITH MIXED DATA[J]. 数学物理学报(英文版), 2024, 44(4): 1394-1414.
[4]	Yanyan han, Huoxiong wu. THE FRACTIONAL TYPE MARCINKIEWICZ INTEGRALS AND COMMUTATORS ON WEIGHTED HARDY SPACES^*[J]. 数学物理学报(英文版), 2023, 43(5): 1981-1996.
[5]	Yanyan CUI, Zunfeng LI, Yonghong XIE, Yuying QIAO. THE NONLINEAR BOUNDARY VALUE PROBLEM FOR k HOLOMORPHIC FUNCTIONS IN $\mathbb{C}^2$^∗[J]. 数学物理学报(英文版), 2023, 43(4): 1571-1586.
[6]	Xiangxing TAO, Yuan ZENG, Xiao YU. BOUNDEDNESS AND COMPACTNESS FOR THE COMMUTATOR OF THE ω-TYPE CALDERÓN-ZYGMUND OPERATOR ON LORENTZ SPACE^∗[J]. 数学物理学报(英文版), 2023, 43(4): 1587-1602.
[7]	Guoen HU, Jie LIU. BOUNDEDNESS OF THE CALDERÓN COMMUTATOR WITH A ROUGH KERNEL ON TRIEBEL-LIZORKIN SPACES^∗[J]. 数学物理学报(英文版), 2023, 43(4): 1618-1632.
[8]	Minghua Yang, Jinyi Sun, Zunwei Fu, Zheng Wang. THE SINGULAR CONVERGENCE OF A CHEMOTAXIS-FLUID SYSTEM MODELING CORAL FERTILIZATION^*[J]. 数学物理学报(英文版), 2023, 43(2): 492-504.
[9]	Songbai WANG. GENERALIZED ORLICZ-TYPE SLICE SPACES, EXTRAPOLATION AND APPLICATIONS[J]. 数学物理学报(英文版), 2022, 42(5): 2001-2024.
[10]	陈艳萍, 丁勇, 朱凯. WEIGHTED NORM INEQUALITIES FOR COMMUTATORS OF THE KATO SQUARE ROOT OF SECOND ORDER ELLIPTIC OPERATORS ON $\mathbb R^n$[J]. 数学物理学报(英文版), 2022, 42(4): 1310-1332.
[11]	何骞君, 吴新峰, 燕敦验. BOUNDS FOR MULTILINEAR OPERATORS UNDER AN INTEGRAL TYPE CONDITION ON MORREY SPACES[J]. 数学物理学报(英文版), 2022, 42(3): 1191-1208.
[12]	何少勇, 陈杰诚. MIXED LIPSCHITZ SPACES AND THEIR APPLICATIONS[J]. 数学物理学报(英文版), 2022, 42(2): 690-714.
[13]	Kwok-Pun HO. A GENERALIZATION OF BOYD'S INTERPOLATION THEOREM[J]. 数学物理学报(英文版), 2021, 41(4): 1263-1274.
[14]	潘亚丽, 薛庆营. TWO WEIGHT CHARACTERIZATIONS FOR THE MULTILINEAR LOCAL MAXIMAL OPERATORS[J]. 数学物理学报(英文版), 2021, 41(2): 596-608.
[15]	丁卫, 朱月萍. MIXED HARDY SPACES AND THEIR APPLICATIONS[J]. 数学物理学报(英文版), 2020, 40(4): 945-969.

THE BOUNDEDNESS OF MULTILINEAR COMMUTATORS ON WEIGHTED SPACES#br# AND HERZ-TYPE SPACES

THE BOUNDEDNESS OF MULTILINEAR COMMUTATORS ON WEIGHTED SPACES#br# AND HERZ-TYPE SPACES

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0