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ESTIMATE FOR A CLASS OF multilinear FRACTIONAL INTEGRAL operator WITH ROUGH KERNEL

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Analysis in Theory and Applications 2010年第4期26卷 359-366页

作者： Yunpin Wu Xiangxing Tao Ningbo University China Zhejiang University of Science ＆ Technology China

In this paper, we prove the boundedness from H1 （Rn） to Ln/n-α∞, （Rn） for the multilinear fractional integral operator with rough kernel related to the mi-th remainder of Taylor series of Ai at x about y for i =... 详细信息

关键词： multilinear operator fractional integral Hardy space

Weighted Endpoint Estimates for multilinear θ-type Calderón-Zygmund operator

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Communications in Mathematical Research 2009年第5期25卷 461-471页

作者： QIN XI-MEI XIE RU-LONG Department of Mathematics Chaohu University Chaohu Anhui 238000

In this paper, weighted endpoint boundedness of multilinear θ-type Calderon-Zygmund operator is obtained.

关键词： multilinear operator θ-type Calderon-Zygmund operator weight function Hardy space BMO space

Weighted Boundedness for a Class of Rough multilinear operators

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Acta Mathematica Sinica,English Series 2001年第3期17卷 517-526页

作者： Yong DING Shan Zhen LU Department of Mathematics,Beijing Normal University,Beijing 100875,P.R.China E-mail:dingy@*** lusz@*** Department of Mathematics Beijing Normal University Beijing 100875 P. R. China

In this paper we give the (L^p(ω~p),L^q(ω~q)) boundedness for a class of multilinear operators, which is similar to the higher-order commutator for the rough fractional *** our results the kernel function is merely ... 详细信息

关键词： multilinear operator Fractional integral Rough kernel BMO A(p,q) weight

Boundedness of multilinear operators on Herz Type Spaces: Extreme Cases

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Acta Mathematica Sinica,English Series 2005年第1期21卷 81-94页

作者： QiangWU DaChunYANG DepartmentofMathematics BeijingNormalUniversityBeijing100875P.R.China

In this paper, two classes of closely related multilinear singular andfractional integrals, which include the commutators as special cases, are studied and theirboundedness on Herz type spaces is discussed. In fact, i... 详细信息

关键词： multilinear operator Singular integral Fractional integral Herz space Hardy space Atom CSMO

New Weighted Norm Inequalities for Certain Classes of multilinear operators on Morrey-type Spaces

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Acta Mathematica Sinica,English Series 2021年第6期37卷 911-925页

作者： Nan ZHAO Jiang ZHOU College of Mathematics and System Sciences Xinjiang UniversityUrumqi 830046P.R.China

Applying the new class of multiple weights A^(θ)_(p),we establish some weighted norm inequalities for certain classes of multilinear operators in the Morrey-type *** addition,the new multiple weighted norm inequaliti... 详细信息

关键词： A^(θ)_(p)weights multilinear operator commutators Morrey-type spaces BMOθspaces

Boundedness of multilinear operators in Herz-type Hardy Space

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Acta Mathematica Sinica,English Series 2000年第2期16卷 295-306页

作者： Lin Tang Dachun Yang Department of Mathematics,Beijing Normal University,Beijing 100875,P.R.China Department of Mathematics Beijing Normal University Beijing 100875 P. R. China

Let k ∈ *** prove that the lnultilinear operators of finite sums of products of singular integrals on Rn are bounded from H Kqlαl·pl（Rn）×…×HKqkαk,pk（Rn）into HKqα,p（Rn）if they have vanishing moments up to a certain order dictated by the target *** conditions on vanishing moments satisfied by the multilinear operators are also necessary when αj（?）0 and the singular integrals considered here include the Calderón-Zygmund singular integrals and the fractional integrals of any orders.

关键词： multilinear operator Calderón-Zygmund operator Fractional integral Multiplier Herz space Hardy space Atom

BOUNDEDNESS OF multilinear operatorS ON WEIGHTED HERZ TYPE SPACES

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Analysis in Theory and Applications 2005年第1期21卷 73-89页

作者： TaoGuiping BeijingNormalUniversity China

In this paper, the author establishes the boundedness of multilinear operators on weighted Herz spaces and Herz-type Hardy spaces. The author also obtains their weak estimates on endpoints. As a special case, the conc... 详细信息

关键词： multilinear operator Calderon-Zygmund weight Herz space

TWO-WEIGHT NORM INEQUALITIES FOR A CLASS OF ROUGH multilinear operatorS

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Analysis in Theory and Applications 2003年第3期19卷 209-219页

作者： WuCuilan ShuLisheng XuzhouNormalUniversity China AnhuiNormalUniversity China

In this paper, we give the (L p,L q)-boundedness for a class of multilinear operators with two different weight functions.

关键词： multilinear operator fractional integral rough kernel BMO weight

Weighted Estimates for the Iterated Commutators of multilinear operators with Mild Regularity Kernels

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Journal of Mathematical Research with Applications 2017年第3期37卷 317-324页

作者： Jie SUN Xianliang SHI Department of Mathematics Mudanjiang Normal University College of Mathematics and Computer Science Hunan Normal University

In this paper, we study the iterated commutators of BMO functions and multilinear operators kernel of which satisfies some mild regularity condition. Some new properties for the commutator on weighted Lebesgue spaces ... 详细信息

关键词： multilinear operator weight function sharp maximal function commutator BMO function