检索结果-南通市图书馆

CONTINUITY OF MARCINKIEWICZ INTEGRALS ON HOMOGENEOUS MORREY-HERZ SPACES

在线全文

学校读者我要写书评

暂无评论

Analysis in Theory and Applications 2007年第3期23卷 201-212页

作者： lisheng shu Rulong Xie Anhui Normal University China Chaohu College China

Let μΩ,b^m be the higher order commutator generated by Marcinkiewicz integral μΩ and a BMO（R^n） function b（x）. In this paper, we will study the continuity of μΩ and μΩ,b^m on homogeneous Morrey-Herz spaces.

关键词： Morrey-Herz space Marcinkiewicz integral commutator bounded mean oscillation

BOUNDEDNESS OF HIGHER ORDER COMMUTATORS OF GENERALIZED FRACTIONAL INTEGRAL OPERATORS ON HARDY SPACES

在线全文

学校读者我要写书评

暂无评论

Analysis in Theory and Applications 2005年第3期21卷 249-257页

作者： Chunlei He lisheng shu Dept. of Math. Anhui Normal University Wuhu 241000 P. R. China

Let Tμ,b,m be the higher order commutator generated by a generalized fractional integral operator Tμ and a BMO function b. In this paper, we will study the boundedness of Tμ,b,m on classical Hardy spaces and Herz-t... 详细信息

关键词： (θ - N)-type fractional integral operator commutator BMO space Hardy space,Herz-type Hardy space atom

BOUNDEDNESS OF COMMUTATORS OF GENERALIZED FRACTIONAL INTEGRAL OPERATORS ON WEIGHTED HERZ-TYPE HARDY SPACES

在线全文

学校读者我要写书评

暂无评论

Analysis in Theory and Applications 2010年第2期26卷 101-109页

作者： Aiwen Sun lisheng shu Anhui Normal University China

In this paper, we study the boundedness of higher order commutators of gen- eralized fractional integral operators on weighted Lp spaces and Herz-type Hardy spaces.

关键词： generalized fractional integral commutator weighted Herz-type Hardy space atom

ON MULTILINEAR COMMUTATORS OF Θ-TYPE CALDERóN-ZYGMUND OPERATORS

在线全文

学校读者我要写书评

暂无评论

Analysis in Theory and Applications 2008年第3期24卷 260-270页

作者： Rulong Xie lisheng shu Chaohu College China Anhui Normal University China

In this paper, we discuss the multilinear commutator of Θ-type Calder6n- Zygmund operators, and obtain that this kind of multilinear commutators is bounded from LP（Rn） to Lq（Rn）, from LP（Rn） to Triebel-Lizorkin... 详细信息

关键词： multilinear commutator Θ-type Calderon-Zygmund operator Triebel- Lizorkin space Hardy space

L^p MIXED-NORM ESTIMATES FOR CONVOLUTION OPERATOR DEFINED BY SINGULAR MEASURES

在线全文

学校读者我要写书评

暂无评论

Analysis in Theory and Applications 2008年第1期24卷 50-54页

作者： Meifang Cheng lisheng shu Anhui Normal University China

Let F be a C^∞ curve in IR^n and μ be the measure induced by Lebesgue measure on F, multiplied by a smooth cut-off function. In this paper, we will prove some mixednorm estimates based on the average decay estimates... 详细信息

关键词： mixed-norm estimate singular measure complex interpolation theorem con-volution operator

The Boundedness of Marcinkiewicz Integrals on Grand Variable Herz Spaces

在线全文

学校读者我要写书评

暂无评论

Analysis in Theory and Applications 2023年第2期39卷 163-177页

作者： Dan Xiao lisheng shu College of Humanities Anhui Professional College of ArtHefeiAnhui 230001China School of Mathematics and Statistics Anhui Normal UniversityWuhuAnhui 241003China

Under some natural regularity assumptions on the exponent function,we obtain the boundedness of Marcinkiewicz integralsμ,μ_(s)^(ρ)andμ_(λ)^(*,ρ)on grand variable Herz *** results enrich and improve some previous... 详细信息

关键词： Marcinkiewicz integrals Herz spaces variable exponent grand spaces

Higher Order Commutators of Marcinkiewicz Integral Operator on Herz-Morrey Spaces with Variable Exponent

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Mathematical Research with Applications 2014年第2期34卷 175-186页

作者： Liwei WANG lisheng shu School of Mathematics and Physics Anhui Polytechnic University School of Mathematics and Computer Science Anhui Normal University

In the case of Ω∈ Lipγ(Sn-1)(0 < γ≤ 1), we prove the boundedness of the Marcinkiewicz integral operator μΩon the variable exponent Herz-Morrey spaces. Also, we prove the boundedness of the higher order commutators μmΩ,bwith b ∈ BMO(Rn) on both variable exponent Herz spaces and Herz-Morrey spaces, and extend some known results.

关键词： Herz-Morrey spaces Marcinkiewicz integral commutator variable exponent.

Multilinear Commutators of θ-Type Calderón-Zygmund Operators on Non-Homogeneous Metric Measure Spaces

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Analysis in Theory and Applications 2017年第2期33卷 178-196页

作者： Rulong Xie lisheng shu Hailian Wang Department of Mathematics Chaohu UniversityHefei 238000AnhuiChina Department of Mathematics Anhui Normal UniversityWuhu 241000AuhuiChina

In this paper, the boundedness in Lebesgue spaces of commutators and multilinear commutators generated by θ-type Calderon-Zygmund operators with RBMO（μ） functions on non-homogeneous metric measure spaces is obtained.

关键词： Multilinear commutators θ-type Calderon-Zygmund operators non-homogeneousmetric measure spaces RBMO(μ).

Weighted Boundedness of Commutators of Generalized Calderón-Zygmund Operators

在线全文

学校读者我要写书评

暂无评论

Analysis in Theory and Applications 2018年第3期34卷 209-224页

作者： Cuilan Wu Yunjie Wang lisheng shu School of Mathematics and Statistics Jiangsu Normal University Kewen Institute Jiangsu Normal University College of Mathematics and Computer Science Anhui Normal University

[b,T] denotes the commutator of generalized Calderon-Zygmund operators T with Lipschitz function b, where b∈Lip;（R;）,（0 <β≤1） and T is aθ（t）-type Calderón-Zygmund operator. The commutator [b,T] generated by b and T is defined by[b,T]f（x）=b（x）Tf（x）-T（bf）(x)=∫k（x,y）(b（x）-b（y）)f（y）*** this paper, the authors discuss the boundedness of the commutator [b, T] on weighted Hardy spaces and weighted Herz type Hardy spaces and prove that [b,T] is bounded from H;（ω;） to L;（ω;）, and from HK;(ω;,ω;) to K;(ω;,ω;). The results extend and generalize the well-known ones in [7].

关键词： Commutator Lipschitz function weighted hardy space Herz space