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
  • [21] On the Weak Boundedness of Multilinear Littlewood-Paley Functions
    Hormozi, Mahdi
    Sawano, Yoshihiro
    Yabuta, Kozo
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2023, 29 (04)
  • [22] Characterizations of the multiple Littlewood-Paley operators on product domains
    Liu, Feng
    Xue, Qingying
    PUBLICATIONES MATHEMATICAE DEBRECEN, 2018, 92 (3-4): : 419 - 439
  • [23] Littlewood-Paley and Spectral Multipliers on Weighted Lp Spaces
    Gong, Ruming
    Yan, Lixin
    JOURNAL OF GEOMETRIC ANALYSIS, 2014, 24 (02) : 873 - 900
  • [24] L p boundedness of the commutators of Marcinkiewicz integrals with rough kernels
    Chen, Yanping
    Ding, Yong
    FORUM MATHEMATICUM, 2015, 27 (04) : 2087 - 2111
  • [25] Some estimates for commutators of Littlewood-Paley g-functions
    Lu, Guanghui
    OPEN MATHEMATICS, 2021, 19 (01): : 888 - 897
  • [26] The boundedness for commutators of maximal hypersingular integrals with rough kernels
    Chen YanPing
    Ding Yong
    Li Ran
    SCIENCE CHINA-MATHEMATICS, 2013, 56 (04) : 707 - 728
  • [27] The boundedness for commutators of maximal hypersingular integrals with rough kernels
    CHEN YanPing
    DING Yong
    LI Ran
    Science China(Mathematics), 2013, 56 (04) : 707 - 728
  • [28] The boundedness for commutators of maximal hypersingular integrals with rough kernels
    YanPing Chen
    Yong Ding
    Ran Li
    Science China Mathematics, 2013, 56 : 707 - 728
  • [29] Parameterized Littlewood-Paley Operators on Weighted Herz Spaces
    Yueshan Wang
    Aiqing Chen
    Analysis in Theory and Applications, 2017, 33 (04) : 301 - 315
  • [30] Lp(Rn) boundedness for higher commutators of singular integrals with rough kernels belonging to certain block spaces
    Hou, Yanyan
    Tang, Lin
    MATHEMATISCHE NACHRICHTEN, 2009, 282 (05) : 713 - 725
12345