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Decomposition of L^P( Da) Space and Boundary Value of Holomorphic Functions

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Chinese Annals of Mathematics,Series B 2017年第5期38卷 1093-1110页

作者： Zhihong WEN guantie deng Cuiqiao WANG Feifei QU Department of Mathematics and Statistics Jiangsu Normal University Xuzhou 221116 Jiangsu China School of Mathematical Sciences Key Laboratory of Mathematics and Complex Systems of Ministry of Education Beijing Normal University Beijing 100875 China

This paper deals with two topics mentioned in the title. First, it is proved that function f in L^p(?D_a) can be decomposed into a sum g + h, where Dais an angular domain in the complex plane, g and h are the non-tangential limits of functions in H^p(D_a) and Hp(_a^c ) in the sense of L^p(D_a), respectively. Second, the sufficient and necessary conditions between boundary values of holomorphic functions and distributions in n-dimensional complex space are obtained.

关键词：全纯函数边界值复空间 DA 分解充分必要条件复平面和分布

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On Completeness and Minimality of Random Exponential System in a Weighted Banach Space of Functions Continuous on the Real Line

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Chinese Annals of Mathematics,Series B 2006年第3期27卷 303-310页

作者： Zhiqiang GAO guantie deng School of Mathematical Sciences Beijing Normal University Beijing 100875 China School of Mathematical Sciences Beijing Normal University Beijing 100875 China.

在这篇论文，在在为凸的非否定的重量的真实的线上连续的复杂功能的一个加权的 Banach 空格的某随机的指数的系统的完全性和 minimality 性质被学习。结果可以被看作概率的版本 ofMalliavin “ s 古典结果。

关键词：最小限度随机指数多项式复杂函数 Banach空间

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Majorization Problems for Some Subclasses of Starlike Functions

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Journal of Mathematical Research with Applications 2019年第2期39卷 153-159页

作者： Huo TANG guantie deng School of Mathematics and Statistics Chifeng University School of Mathematical Sciences Beijing Normal University

In this article, we study several majorizaton properties for the subclasses SL*,SR*(a, b), BS*(α), Sc*, Sq*and SR*of starlike functions. Meanwhile, some special cases of our main results are given.

关键词： analytic function subordination majorization starlike function

Inclusion Relationships for p-Valent Analytic Functions Involving the Dziok-Srivastava Operator

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Journal of Mathematical Research with Applications 2014年第6期34卷 696-702页

作者： Huo TANG guantie deng School of Mathematics and Statistics Chifeng University School of Mathematical Sciences Beijing Normal University

In this paper, we use the methods of differential subordination and the properties of convolution to investigate the class Wp(H(ai, bj); φ) of multivalent analytic functions, which is defined by the Dziok-Srivastava ... 详细信息

关键词： analytic functions subordination Hadmard product(or convolution) DziokSrivastava operator

LAPLACE TRANSFORMS FOR ANALYTIC FUNCTIONS IN TUBULAR DOMAINS

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Acta Mathematica Scientia 2021年第6期41卷 1938-1948页

作者：邓冠铁付倩曹辉 Laboratory of Mathematics and Complex Systems(Ministry of Education of China) School of Mathematical SciencesBeijing Normal UniversityBeijing100875China

Assume that 0 详细信息

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关键词： Laplace transforms Fourier transform tubular domain regular cone

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Majorization Properties for Certain Classes of Analytic Functions Involving a Generalized Diferential Operator

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Journal of Mathematical Research with Applications 2013年第5期33卷 578-586页

作者： Huo TANG guantie deng Shuhai LI School of Mathematical Sciences Beijing Normal University School of Mathematics and Statistics Chifeng University

In this paper,we introduce new subclasses Sm,j,l p,q,λ [A,B;γ] and Hm,j,l p,q,λ(α,β) of certain p-valent analytic functions defined by a generalized diferential *** properties for functions belonging to the classes Sm,j,l p,q,λ [A,B;γ] and Hm,j,l p,q,λ(α,β) are ***,we point out some new or known consequences of our main results.

关键词： analytic functions starlike functions β-spiral functions subordination majorization property diferential operator.

Inclusion Relationships for Certain Classes of p-Valent Functions Involving the Srivastava-Khairnar-More Operator

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Journal of Mathematical Research with Applications 2014年第2期34卷 187-196页

作者： Huo TANG guantie deng Shuhai LI School of Mathematics and Statistics Chifeng University School of Mathematical Sciences Beijing Normal University

In the present paper, we use the methods of differential subordination and convolution to investigate some inclusion properties for certain classes of p-valent analytic functions in the open unit disk, which are associated with the Srivastava-Khairnar-More operator. The results presented here include several previous known results as their special cases.

关键词： analytic functions p-valent functions subordination Hadmard product(or convolution) Srivastava-Khairnar-More operator.