Lp boundedness for commutators of parabolic Littlewood-Paley operators with rough kernels

被引：4
|
作者：
Chen, Dongxiang [1 ,2 ]
Lu, Shanzhen [1 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
[2] Jiangxi Normal Univ, Dept Math, Nanchang 330022, Peoples R China
来源：
MATHEMATISCHE NACHRICHTEN | 2011年 / 284卷 / 8-9期
关键词：
Parabolic Littlewood-Paley operator; commutator; block space; rough kernel; BLOCK SPACES; MARCINKIEWICZ INTEGRALS; UNIT-SPHERE; BOUNDS;
D O I：
10.1002/mana.200810139
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, L p bounds for the m-th order commutators of the parabolic Littlewood-Paley operator are obtained, provided that the kernel Omega belongs to L(log+L)(m+1/2)(Sn-1) or B-q(0,m-1/2)(Sn-1) (certain block spaces) for center q > 1, 1 < p < infinity, m is an element of N. (C) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
引用
收藏
页码：973 / 986
页数：14
相关论文
共 50 条
  • [41] An Endpoint Estimate for the Commutators of Singular Integral Operators with Rough Kernels
    Hu, Guoen
    Tao, Xiangxing
    POTENTIAL ANALYSIS, 2023, 58 (02) : 241 - 262
  • [42] Weak (1,1) estimates for Littlewood-Paley functions with rough kernals
    Sato, S
    PROCEEDINGS OF THE SECOND ISAAC CONGRESS, VOLS 1 AND 2, 2000, 7 : 83 - 87
  • [43] BOUNDEDNESS OF INTRINSIC LITTLEWOOD-PALEY FUNCTIONS ON MUSIELAK-ORLICZ MORREY AND CAMPANATO SPACES
    Liang, Yiyu
    Nakai, Eiichi
    Yang, Dachun
    Zhang, Junqiang
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2014, 8 (01): : 221 - 268
  • [44] On the Commutators of Singular Integral Operators with Rough Convolution Kernels
    Guo, Xiaoli
    Hu, Guoen
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2016, 68 (04): : 816 - 840
  • [45] Lp Bounds for the Commutator of Parabolic Singular Integral with Rough Kernels
    Yanping Chen
    Yong Ding
    Potential Analysis, 2007, 27 : 313 - 334
  • [46] Lp bounds for the commutator of parabolic singular integral with rough kernels
    Chen, Yanping
    Ding, Yong
    POTENTIAL ANALYSIS, 2007, 27 (04) : 313 - 334
  • [47] Lp BOUNDS FOR THE COMMUTATORS OF SINGULAR INTEGRALS AND MAXIMAL SINGULAR INTEGRALS WITH ROUGH KERNELS
    Chen, Yanping
    Ding, Yong
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 367 (03) : 1585 - 1608
  • [48] Boundedness of Littlewood-Paley g-functions on non-homogeneous metric measure spaces
    Jiao, Huaye
    Lin, Haibo
    NEW YORK JOURNAL OF MATHEMATICS, 2018, 24 : 815 - 847
  • [49] L2 boundedness for maximal commutators with rough variable kernels
    Chen, Yanping
    Ding, Yong
    Li, Ran
    REVISTA MATEMATICA IBEROAMERICANA, 2011, 27 (02) : 361 - 391
  • [50] Boundedness of multiple Marcinkiewicz integral operators with rough kernels
    Wu, HX
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2006, 43 (03) : 635 - 658
12345