Singular integrals with product kernels associated with mixed homogeneities and Hardy spaces

被引:0
|
作者
Han, Yongsheng [1 ]
Krantz, Steven G. [2 ]
Tan, Chaoqiang [3 ]
机构
[1] Auburn Univ, Dept Math, Auburn, AL 36849 USA
[2] Washington Univ St Louis, Dept Math, Campus Box 1146,One Brookings Dr, St Louis, MO 63130 USA
[3] Shantou Univ, Dept Math, Shantou 515063, Peoples R China
关键词
BOUNDEDNESS; OPERATORS;
D O I
10.1215/00192082-11285717
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is motivated by Phong and Stein's paper on non-standard singular integrals with mixed homogeneities. Our purpose is to study these new non-standard convolution singular integrals and establish the boundedness of these singular integrals on the Hardy spaces.
引用
收藏
页码:365 / 397
页数:34
相关论文
共 50 条
  • [1] MULTILINEAR MULTIPLIERS AND SINGULAR INTEGRALS WITH SMOOTH KERNELS ON HARDY SPACES
    Cruz-Uribe, David
    Hanh Van Nguyen
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 374 (06) : 3801 - 3825
  • [2] Mixed estimates for singular integrals on weighted Hardy spaces
    Eugenia Cejas, Maria
    Dalmasso, Estefania
    REVISTA MATEMATICA COMPLUTENSE, 2020, 33 (03): : 745 - 766
  • [3] SINGULAR INTEGRALS WITH MIXED HOMOGENEITY IN PRODUCT SPACES
    Chen, Larry
    Hung Viet Le
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2011, 14 (01): : 155 - 172
  • [4] Marcinkiewicz integrals with variable kernels on Hardy and weak Hardy spaces
    Tao, Xiangxing
    Yu, Xiao
    Zhang, Songyan
    JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2010, 8 (01): : 1 - 16
  • [5] HARDY SPACES ASSOCIATED TO THE DISCRETE LAPLACIANS ON GRAPHS AND BOUNDEDNESS OF SINGULAR INTEGRALS
    The Anh Bui
    Duong, Xuan Thinh
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 366 (07) : 3451 - 3485
  • [6] BOUNDEDNESS OF SINGULAR INTEGRALS IN HARDY SPACES ON SPACES OF HOMOGENEOUS TYPE
    Hu, Guoen
    Yang, Dachun
    Zhou, Yuan
    TAIWANESE JOURNAL OF MATHEMATICS, 2009, 13 (01): : 91 - 135
  • [7] Characterizations of local product kernels and Hardy spaces
    He, Shaoyong
    Chen, Jiecheng
    NEW YORK JOURNAL OF MATHEMATICS, 2025, 31 : 66 - 90
  • [8] Anisotropic singular integrals in product spaces
    Li BaoDe
    Bownik, Marcin
    Yang DaChun
    Zhou Yuan
    SCIENCE CHINA-MATHEMATICS, 2010, 53 (12) : 3163 - 3178
  • [9] Multilinear singular and fractional integrals on weighted Hardy spaces
    Zhang Pu
    Lan Jia-cheng
    APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2009, 24 (02) : 214 - 220
  • [10] Singular Integrals and Hardy Type Spaces for the Inverse Gauss Measure
    Bruno, Tommaso
    JOURNAL OF GEOMETRIC ANALYSIS, 2021, 31 (06) : 6481 - 6528