检索结果-南通市图书馆

A Note on schwarz-Pick Lemma for Bounded Complex-Valued Harmonic Functions in the unit Ball of R^n

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of Mathematics,series B 2015年第1期36卷 67-80页

作者： shaoyu DAI yifei pan department of Mathematics Jinling Institute of Technology department of mathematical sciences Indiana University - Purdue University Fort Wayne Fort WayneIN 46805-1499 USA

In this paper, the authors prove a schwarz-Pick lemma for bounded complexvalued harmonic functions in the unit ball of Rn.

关键词： Harmonic functions schwarz-Pick lemma unit ball

Proper Holomorphic Maps from Domains in C2 with Transverse Circle Action

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of Mathematics,series B 2007年第5期28卷 533-542页

作者： Adam COFFMAN yifei pan department of mathematical sciences Indiana University - Purdue University Fort Wayne Fort Wayne IN 46805-1499 USA. department of mathematical sciences Indiana University - Purdue University Fort Wayne Fort Wayne IN 46805-1499 USA College of Mathematics and Information sciences Jiangxi Normal University Nanchang 330022 China.

The authors consider proper holomorphic mappings between smoothly bounded pseudoconvex regions in complex 2-space,where the domain is of finite type and admits a transverse circle *** main result is that the closure of each irreducible component of the branch locus of such a map intersects the boundary of the domain in the union of finitely many orbits of the group action.

关键词： Proper holomorphic map Pseudoconvex domain

A Boundary schwarz Lemma for Holomorphic Mappings on the Polydisc

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of Mathematics,series B 2018年第1期39卷 9-16页

作者： Yang LIu Zhihua CHEN yifei pan department of Mathematics Zhejiang Normal University Jinhua 321004 Zhejiang China. department of Mathematics Tongji University Shanghai 200092 China department of mathematical sciences Indiana University-Purdue University Fort Wayne Fort Wayne IN 46805-1499 USA school of Mathematics and Informatics Jiangxi Normal University Nanchang 330022 China.

The authors prove a general schwarz lemma at the boundary for holomorphic mappings from the polydisc to the unit ball in any *** the special case of one complex variable,the obtained results give the classic boundary ... 详细信息

关键词： Boundary schwarz lemma Holomorphic mapping Polydisc unit ball

A schwarz Lemma at the Boundary of Hilbert Balls

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of Mathematics,series B 2018年第4期39卷 695-704页

作者： Zhihua CHEN Yang LIu yifei pan department of Mathematics Tongji UniversityShanghai 200092 China. Corresponding author. department of Mathematics Zhejiang Normal University Jinhua 321004Zhejiang China. department of mathematical sciences Indiana University-Purdue University Fort Wayne Fort Wayne IN 46805-1499 USA school of Mathematics and Informatics Jiangxi Normal University Nanchang 330022 China.

In this paper, the authors prove a general schwarz lemma at the boundary for the holomorphic mapping f between unit balls B and B＇ in separable complex Hilbert spaces H and H＇, respectively. It is found that if the mapping f ∈ C^1＋α at z0 ∈ B with f（zo） = wo ∈ OB＇, then the Fr＆het derivative operator Df（z0） maps the tangent space Tz0（ B^n） to Tw0（ B＇）, the holomorphic tangent space Tz0^（1,0） to Tw0（1,0）（ B＇）,respectively.

关键词： Boundary schwarz lemma separable Hilbert space Holomorphic mapping unit ball

On a Right Inverse of a Polynomial of the Laplace in the Weighted Hilbert space L^(2)(R^(n),e^(−|x|^(2)))

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1期39卷 83-92页

作者： shaoyu Dai Yang Liu yifei pan department of Mathematics Jinling Institute of TechnologyNanjingJiangsu 211169China department of Mathematics Zhejiang Normal UniversityJinhuaZhejiang 321004China department of mathematical sciences Purdue University Fort WayneFort Wayne46805-1499USA

Let P(∆)be a polynomial of the Laplace operator∆=n∑j=1∂^(2)∂x^(2)_(j) on R^(n).We prove the existence of a bounded right inverse of the differential operator P(∆)in the weighted Hilbert space with the Gau.s.a. measur... 详细信息

关键词： Laplace operator polynomial right inverse weighted Hilbert space Gau.s.a. measure

A sCHWARZ-PICK LEMMA FOR THE MODuLus OF HOLOMORPHIC MAPPINGs FROM THE POLYDIsK INTO THE uNIT BALL

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

Acta Mathematica scientia 2014年第6期34卷 1775-1780页

作者：戴绍虞潘一飞 department of Mathematics Jinling Institute of Technology school of Mathematics and Informatics Jiangxi Normal University department of mathematical sciences Indiana University-Purdue University Fort WayneFort WayneIN 46805-1499USA

In this paper we prove a schwarz-Pick lemma for the modulus of holomorphic mappings from the polydisk into the unit ball. This result extends some related results.

关键词： holomorphic mappings schwarz-Pick lemma the polydisk

一个向量形式的格朗沃尔(Gronwall)不等式

在线全文

学校读者我要写书评

暂无评论

数学年刊:A辑 2023年第3期44卷 303-314页

作者：戴绍虞潘一飞金陵科技学院数学系南京211169 普渡大学韦恩堡校区数学系美国韦恩堡46805-1499

本文证明了高阶微分算子的一个向量形式的格朗沃尔不等式.作为它的一个应用,作者得到了具有奇异系数的n阶线性常微分方程系统在初始条件下解的稳定性和唯一性定理.作为它的另一个应用,作者得到了n阶非线性常微分方程系统在初始条件下解... 详细信息

本文证明了高阶微分算子的一个向量形式的格朗沃尔不等式.作为它的一个应用,作者得到了具有奇异系数的n阶线性常微分方程系统在初始条件下解的稳定性和唯一性定理.作为它的另一个应用,作者得到了n阶非线性常微分方程系统在初始条件下解的稳定性和唯一性定理.

关键词：格朗沃尔不等式微分方程稳定性唯一性