带Dini核的多线性Calderón-Zygmund算子的迭代交换子的有界性

周疆; 胡喜

doi:10.13568/j.cnki.651094.2019.04.007

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带Dini核的多线性Calderón-Zygmund算子的迭代交换子的有界性

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- 带Dini核的多线性Calderón-Zygmund算子的迭代交换子的有界性
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 36, Issue 4, Pages: 417-424(2019)
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：10.13568/j.cnki.651094.2019.04.007
  CLC： O177
- Published：2019
- 稿件说明：
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[1]周疆,胡喜.带Dini核的多线性Calderón-Zygmund算子的迭代交换子的有界性[J].新疆大学学报(自然科学版),2019,36(04):417-424.
[1]周疆,胡喜.带Dini核的多线性Calderón-Zygmund算子的迭代交换子的有界性[J].新疆大学学报(自然科学版),2019,36(04):417-424. DOI： 10.13568/j.cnki.651094.2019.04.007.

DOI：10.13568/j.cnki.651094.2019.04.007.

摘要

文章证明了带Dini核的多线性Calderón-Zygmund算子与Lipschitz函数生成的迭代交换子的Sharp极大函数估计.进一步

在合适的指标条件下

可以得到此交换子在乘积Lebesgue空间上的有界性.

Abstract

The authors give a sharp maximal estimate for the iterated commutator that is generated by multilinear Calderón Zygmund operators with kernels of Dini's type and Lipschitz function. Furthermore

in the suitable index case

the commutator is bounded on product Lebesgue spaces

关键词

Keywords

references

COIFMAN R,MEYER Y.On commutators of singular integrals and bilinear singular integrals[J].Trans Amer Math Soc,1975,212:315-313.

COIFMAN R,MEYER Y.Au Dela des Commutators d’integrals singulieres et operateurs multilineaires[J].Ann Inst Fourier(Grenoble),1978,28:177-202.

GRAFAKOS L,KALTON N.Multilinear Calderón-Zygmund operators on Hardy spaces[J].Collect Math,2001,52:169-179.

GRAFAKOS L,TORRES R H.Multilinear Calderón-Zygmund theory[J].Adv Math,2002,165:124-164.

KENING C,STEIN E M.Multilinear estimates and fractional integrals[J].Math Res Lett,1999,6:1-15.

Pe REZ C,TORRES R H.Sharp maximal function estimates for multilinear singular integrals[J].Contemp Math,2003,320:323-331.

BUI T A,DUONG X T.Weighted norm inequalities for multilinear operators and applications to multilinear Fourier multioliers[J].Bull Sci Math,2013,137:63-75.

DUONG X T,GRAFAKOS L,YAN L.Multilinear operators with non-smooth kernels and commutators of singular intehrals[J].Trans Amer Math Soc,2010,362:2089-2113.

Pe REZ C,TORRES R H.Minimal regularity conditions for the end-point estimate of bilinear Calderón-Zygmund operators[J].Proc Amer Math Soc Ser B,2014,1:1-13.

MALDONADO D,NAIBO V.Weighted norm inequalities for paraproducts and bilinear pseudodifferential operators with mild regularity[J].J Fourier Anal Appl,2009,15:218-261.

LU G Z,ZHANG P.Multilinear Calderón-Zygmund operators with kernels of Dini’s type and applications[J].Nonlinear Anal,2014,107:92-117.

胡喜,周疆.带Dini核的多线性Calderón-Zygmund算子的交换子的有界性[J].黑龙江大学自然科学学报,DOI:10.13482/j.issn1001-7011.2018.04.209.HU X,ZHOU J.The boundness of commutators for the multilinear Calderón-Zygmund operators with kernels of Dini’s type[J].JHeilongjiang Univ Natur Sci,DOI:10.13482/j.issn1001-7011.2018.04.209.(in Chinese)

ZHANG P,SUN J.Commutators of multilinear Calderón-Zygmund operators with kernels of Dini’s type and applications[J].ar Xiv:1605.07449v1.

WANG W,XU J S.Commutators of multilinear singular integrals with Lipschitz functions[J].Commun Math Res,2009,04:318-329.

STEIN E M.Harmonic Analysis:real variable methods,orthogonality and oscillatory integrals[M].Princeton N J:Princeton Univ Press,1993.

PEREZ C,TRUJILLO Z.Sharp weighted estimates for vector-valued singular integral operators and commutators[J].Tohoku Math J,2003,55:109-129.

PALUSZYNSKI M.Characterization of the Besov Spaces via the Commutator Operator of Coifman Rochbergand Weiss[J].Indiana Univ Math J,1995 44:1-17.

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