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Compositions of polyharmonic mappings

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成果类型:
期刊论文、会议论文
作者:
Liu, Gang*;Ponnusamy, Saminathan
通讯作者:
Liu, Gang
作者机构:
[Liu, Gang] Hengyang Normal Univ, Coll Math & Stat, Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421008, Hunan, Peoples R China.
[Ponnusamy, Saminathan] Indian Inst Technol Madras, Dept Math, Madras 600036, Tamil Nadu, India.
[Ponnusamy, Saminathan] IST, Chennai Ctr, 110 Nelson Manickam Rd, Madras 600029, Tamil Nadu, India.
通讯机构:
[Liu, Gang] H
Hengyang Normal Univ, Coll Math & Stat, Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421008, Hunan, Peoples R China.
语种:
英文
关键词:
Analytic;anti-analytic;harmonic;biharmonic;p-harmonic;polyharmonic and composition
期刊:
Contemporary Mathematics
ISSN:
0271-4132
年:
2017
卷:
699
页码:
209-221
会议名称:
7th International Conference on Complex Analysis and Dynamical Systems (CA&DS VII)
会议论文集名称:
Contemporary Mathematics
会议时间:
MAY 10-15, 2015
会议地点:
Nahariya, ISRAEL
会议主办单位:
[Liu, Gang] Hengyang Normal Univ, Coll Math & Stat, Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421008, Hunan, Peoples R China.^[Ponnusamy, Saminathan] Indian Inst Technol Madras, Dept Math, Madras 600036, Tamil Nadu, India.^[Ponnusamy, Saminathan] IST, Chennai Ctr, 110 Nelson Manickam Rd, Madras 600029, Tamil Nadu, India.
会议赞助商:
ORT Braude Coll, Bar Ilan Univ, Univ S Florida
主编:
Agranovsky, ML BenArtzi, M Beneteau, C Karp, L Khavinson, D Reich, S Shoikhet, D Weinstein, G Zalcman, L
出版地:
P.O. BOX 6248, PROVIDENCE, RI 02940 USA
出版者:
AMER MATHEMATICAL SOC
ISBN:
978-1-4704-2961-4
基金类别:
NSFs of ChinaNational Natural Science Foundation of China (NSFC) [11371363, 11571049]; Construct Program of the Key Discipline in Hunan Province; Hunan Provincial Natural Science Foundation of ChinaNatural Science Foundation of Hunan Province [2015JJ6011]; Science and Technology Plan Project of Hunan Province [2016TP1020]
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
The paper is devoted to the study of compositions of polyharmonic mappings in simply connected domains. More precisely, we determine necessary and sufficient conditions of polyharmonic mapping $f$ such that $f\circ F$ (resp. $F\circ f$) is $l$-harmonic for any analytic function (or harmonic mapping but not analytic, or $q$-harmoni...

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