SU\G(𝔸)/K·U

Oscillation and variation inequalities for the multilinear singular integrals related to Lipschitz functions

Yue Hu, Yueshan Wang

Type: Article

Publication Date: 2017-11-25

Citations: 3

DOI: https://doi.org/10.1186/s13660-017-1568-8

Abstract

The main purpose of this paper is to establish the weighted $(L^{p},L^{q})$ inequalities of the oscillation and variation operators for the multilinear Calderón-Zygmund singular integral with a Lipschitz function.

Locations

  • PubMed Central - View
  • Europe PMC (PubMed Central) - View - PDF
  • DOAJ (DOAJ: Directory of Open Access Journals) - View
  • PubMed - View
  • Journal of Inequalities and Applications - View - PDF

Similar Works

Action Title Year Authors
+ Some inequalities for the multilinear singular integrals with Lipschitz functions on weighted Morrey spaces 2019 Feri̇t Gürbüz
+ Some inequalities for the multilinear singular integrals with Lipschitz functions on weighted Morrey spaces 2019 Feri̇t Gürbüz
+ PDF Chat Some inequalities for the multilinear singular integrals with Lipschitz functions on weighted Morrey spaces 2020 Feri̇t Gürbüz
+ PDF Chat Variation and oscillation for the multilinear singular integrals satisfying Hörmander type conditions 2018 Yinhong Xia
+ PDF Chat Inequality estimates for the boundedness of multilinear singular and fractional integral operators 2013 Xiaosha Zhou
Chuangxia Huang
Haijun Hu
Li Liu
+ PDF Chat Oscillation and variation inequalities for the commutators of singular integrals with Lipschitz functions 2015 Jing Zhang
Huoxiong Wu
+ PDF Chat Characterization of Lipschitz Functions via Commutators of Multilinear Singular Integral Operators in Variable Lebesgue Spaces 2023 Jianglong Wu
Pu Zhang
+ Weighted Sharp Maximal Function Inequalities and Boundedness of Multilinear Singular Integral Operator with Variable Calder\'on-Zygmund Kernel 2015 Chen Qiong
+ PDF Chat Estimates of multilinear singular integral operators and mean oscillation 2014 Lanzhe Liu
+ WEIGHTED BOUNDEDNESS OF MULTILINEAR OPERATOR ASSOCIATED TO SINGULAR INTEGRAL OPERATOR SATISFYING A VARIANT OF HÖRMANDER'S CONDITION 2015 Qiaozhen Zhao
Junfeng Wang
+ Boundedness of multilinear singular integral operator with non-smooth kernels and mean oscillation 2017 Chuangxia Huang
Lanzhe Liu
+ Boundedness of multilinear singular integral operators satisfying a variant of Hörmander’s condition and mean oscillation 2016 Lanzhe Liu
+ PDF Chat Weighted boundedness of multilinear operators associated to singular integral operators with non-smooth kernels 2014 Daqing Lu
+ MULTILINEAR COMMUTATORS OF MULTILINEAR SINGULAR INTEGRALS WITH LIPSCHITZ FUNCTIONS 2011 Huang Zheng
+ Weighted L~p-boundedness of Multilinear Oscillatory Singular Integrals with Calderón-Zygmund Kernel 2002 Tian Dongfeng
+ Commutators of Multilinear Singular Integrals with Lipschitz Functions 2009 Wei Wang
Jingshi Xu
+ PDF Chat Variation Inequalities for the Commutators of One-Sided Calderón-Zygmund Singular Integrals with Lipschitz Functions 2021 Tingting Juan
Xianming Hou
+ Boundedness for Multilinear Commutator of Singular Integral Operator with Weighted Lipschitz Functions 2013 Lanzhe Liu
Guo Sheng
Chuangxia Huang
+ PDF Chat Weighted Lipschitz Estimates for Multilinear Commutator of Integral Operator 2012 Du Jing
Chuangxia Huang
Lanzhe Liu
+ Weighted oscillation and variation inequalities for singular integrals and commutators satisfying Hörmander type conditions 2017 Jing Zhang
Huo Xiong Wu

Works That Cite This (3)

Action Title Year Authors
+ PDF Chat Some inequalities for the multilinear singular integrals with Lipschitz functions on weighted Morrey spaces 2020 Feri̇t Gürbüz
+ PDF Chat Variation and oscillation for the multilinear singular integrals satisfying Hörmander type conditions 2018 Yinhong Xia
+ Some inequalities for the multilinear singular integrals with Lipschitz functions on weighted Morrey spaces 2019 Feri̇t Gürbüz

Works Cited by This (12)

Action Title Year Authors
+ PDF Chat Oscillation and variation inequalities for the commutators of singular integrals with Lipschitz functions 2015 Jing Zhang
Huoxiong Wu
+ PDF Chat A BMO estimate for multilinear singular integrals 1986 Jonathan Cohen
John Gosselin
+ Oscillation and variation inequalities for singular integrals and commutators on weighted Morrey spaces 2015 Jing Zhang
Huoxiong Wu
+ PDF Chat Weighted norm inequalities for the Hardy maximal function 1972 Benjamin Muckenhoupt
+ Multilinear Singular Integrals with Rough Kernel 2003 Shan Zhen Lu
Huo Xiong Wu
Pu Zhang
+ The ρ-variation of the Hermitian Riesz transform 2010 Raquel Crescimbeni
F. J. Martín-Reyes
A. de la Torre
José L. Torrea
+ Weighted Boundedness for a Class of Rough Multilinear Operators 2001 Yong Ding
Shan Zhen Lu
+ Oscillation and variation for the Hilbert transform 2000 James T. Campbell
R. W. L. Jones
Karin Reinhold
Μáté Wierdl
+ Dimension free estimates for the oscillation of riesz transforms 2004 T. A. Gillespie
José L. Torrea
+ A criterion on oscillation and variation for the commutators of singular integral operators 2012 Feng Liu
Huoxiong Wu