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国家自然科学基金(11271359): 作品数：31被引量：22H指数：3; 导出分析报告; 相关作者：刘爱超刘浩崔艳艳葛立邓方文更多>>; 相关机构：黄淮学院河南大学周口师范学院河南科技学院更多>>; 相关期刊：《数学杂志》《中国科学：数学》《河南大学学报（自然科学版）》《数学学报（中文版）》更多>>; 相关主题：星形映照螺形映照MAPPINGS增长定理OPERATOR更多>>; 相关领域：理学轻工技术与工程更多>>

Bergman-Hartogs域上的Roper-Suffridge延拓算子: 《数学学报（中文版）》2021年第5期787-800,共14页崔艳艳王朝君刘浩; 国家自然科学基金(11271359,11471098);河南省教育厅科学技术研究重点项目(17A110041,19B110016);周口师范学院科研创新基金项目(ZKNUA201805)。; 本文给出多复变数空间中构造具有特殊几何性质的双全纯映照的新方法,讨论了Bergman-Hartogs域上推广的Roper-Suffridge算子的性质,并利用Bergman-Hartogs域的特征及双全纯映照子族的几何性质,证明推广的Roper-Suffridge算子在Bergman-Ha...; 关键词：ROPER-SUFFRIDGE算子螺形映照 Bergman-Hartogs域

THE EXTENSION OPERATORS ON Bn+1 AND BOUNDED COMPLETE REINHARDT DOMAINS: 《Acta Mathematica Scientia》2020年第5期1271-1288,共18页Yanyan CUI Chaojun WANG Hao LIU; supported by NSF of China(11271359,11471098);Science and Technology Research Projects of Henan Provincial Education Department(19B110016);Scientific Research Innovation Fund Project of Zhoukou Normal University(ZKNUA201805);Scientific Research Fund of High Level Talents of Zhoukou Normal University(ZKNUC2019004).; In this article, we extend the well-known Roper-Suffridge operator on Bn+1 and bounded complete Reinhardt domains in Cn+1, then we investigate the properties of the generalized operators. Applying the Loewner theory, ...; 关键词：Roper-Suffridge operator Reinhardt domains spirallike mappings

THE INVARIANCE OF SUBCLASSES OF BIHOLOMORPHIC MAPPINGS ON BERGMAN-HARTOGS DOMAINS: 《Acta Mathematica Scientia》2019年第4期1103-1120,共18页Yanyan CUI Hao LIU; supported by NSF of China(11271359,11471098);Science and Technology Research Projects of Henan Provincial Education Department(17A110041);Scientific Research and Innovation Fund Projects of Zhoukou Normal University(ZKNUA201805); We mainly discuss the invariance of some subclasses of biholomorphic mappings under the generalized Roper-Suffridge operators on Bergman-Hartogs domains which are based on the unit ball Bn. Using the geometric propert...; 关键词：Biholomorphic MAPPINGS spirallike MAPPINGS Bergman-Hartogs domain Roper-Suffridge operator

SUBCLASSES OF BIHOLOMORPHIC MAPPINGS UNDER THE EXTENSION OPERATORS: 《Acta Mathematica Scientia》2019年第1期297-311,共15页Chaojun WANG Yanyan CUI Hao LIU; supported by NSF of China(11271359,11471098);Science and Technology Research Projects of Henan Provincial Education Department(19B110016);Scientific Research Innovation Fund Project of Zhoukou Normal University(ZKNUA201805); In this article, we mainly study the invariance of some biholomorphic mappings with special geometric characteristics under the extension operators. First we generalize the Roper-Suffridge extension operators on Bergm...; 关键词：spirallike MAPPINGS Roper-Suffridge OPERATOR Bergman-Hartogs DOMAINS

有界完全Reinhardt域上的星形映照: 《四川师范大学学报（自然科学版）》2018年第3期357-360,共4页王朝君崔艳艳; 国家自然科学基金(11271359);河南省教育厅科学技术研究重点项目(17A110041); 将Roper-Suffridge算子在Reinhardt域上进行了推广,应用推广后的Roper-Suffridge延拓算子通过单位圆盘上全纯函数的α次凸性及近于凸性讨论多复变函数空间中相应的双全纯映照的星形性,从而得到Roper-Suffridge算子及其推广的新性质,并...; 关键词：REINHARDT域星形映照 ROPER-SUFFRIDGE算子

THE GENERALIZED ROPER-SUFFRIDGE OPERATOR ON THE UNIT BALL IN COMPLEX BANACH AND HILBERT SPACES被引量：4: 《Acta Mathematica Scientia》2017年第6期1817-1829,共13页崔艳艳王朝君刘浩; supported by NSF of China(11271359);Science and Technology Research Projects of Henan Provincial Education Department(17A110041);Youth Fund Projects of Zhoukou Normal University(zknu B3201608); In this paper, we extend the Roper-Suffridge extension operator in complex Ba- nach space, and prove that the extended Roper-Suffridge operators preserve the properties of the subclasses of spirallike mappings on the ...; 关键词：spirallike mappings starlike mappings Roper-Suffridge operator

沿单位方向上的强α型螺形映射的偏差估计: 《数学物理学报（A辑）》2017年第2期239-247,共9页刘爱超崔艳艳刘浩; 国家自然科学基金(11271359);河南省教育厅科学技术研究重点项目(14B110015;14B110016)~~; 各种双全纯映射的偏差估计一直是多复变函数论研究的热点之一.自强α型螺形映射的定义被提出以来,研究人员仅获得了增长与掩盖结果,但对其偏差结果却知之甚少.针对这一情况,利用强α型螺形映射的增长结果,首次获得了复Banach空间中开单...; 关键词：强α型螺形映射增长与掩盖定理单位方向偏差估计

PROPERTIES OF THE MODIFIED ROPER-SUFFRIDGE EXTENSION OPERATORS ON REINHARDT DOMAINS被引量：2: 《Acta Mathematica Scientia》2016年第6期1767-1779,共13页王朝君崔艳艳刘浩; supported by NSFC(11271359,U1204618);Science and Technology Research Projects of Henan Provincial Education Department(14B110015,14B110016);Youth Fund Projects of Zhoukou Normal University(zknuB 3201608); In this paper, we mainly discuss the properties of the modified Roper-Suffridge operators on Reinhardt domains. By the analytical characteristics and distortion results of subclasses of biholomorphic mappings, we conc...; 关键词：Roper-Suffridge operator spirallike mappings starlike mappings

The Parametric Representation for Starlike Mappings on Bounded Starlike Circular Domains: 《Chinese Quarterly Journal of Mathematics》2016年第3期288-297,共10页闫春燕张芳芳; Supported by the National Natural Science Foundation of China(11271359); In this paper,the parametric representation of starlike mappings is given.As a direct application,the growth theorem is set up.Moreover,a character of starlike mappings is obtained.; 关键词：starlike mappings parametric representation growth theorem

CARLESON MEASURES,RIEMANN-STIELTJES OPERATORS AND MULTIPLIERS ON F(p,q,s)SPACES IN THE UNIT BALL OF C^n被引量：3: 《Acta Mathematica Scientia》2016年第3期635-654,共20页彭茹吴悠邓方文; Supported in part by the National Natural Science Foundation of China(11271359);the Fundamental Research Funds for the Central Universities(2014-Ia-037and 2015-IVA-069); This paper is devoted to characterizing the Riemann-Stieltjes operators and pointwise multipliers on F（p, q, s） spaces in the unit ball of C^n which contain many classical function spaces, such as the Bloch space, B...; 关键词：Carleson measures F（p q s） spaces tent-type spaces Riemann-Stieltjes operators MULTIPLIERS

国家自然科学基金(11271359)