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线性测度与K-拟共形调和映射
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作者 陈少林 刘刚 PONNUSAMY Saminathan 《中国科学:数学》 CSCD 北大核心 2017年第5期565-574,共10页
本文主要讨论调和映射与线性测度之间的关系.首先,证明单位圆周上任意可测集在单叶且保向的调和映射作用下的边界线性测度的最佳偏差定理.其次,建立K-拟共形调和映射的Schwarz型引理,并利用K-拟共形调和映射来刻画M-Lavrentiev域.最后,... 本文主要讨论调和映射与线性测度之间的关系.首先,证明单位圆周上任意可测集在单叶且保向的调和映射作用下的边界线性测度的最佳偏差定理.其次,建立K-拟共形调和映射的Schwarz型引理,并利用K-拟共形调和映射来刻画M-Lavrentiev域.最后,讨论具有有限径向长度的K-拟共形调和映射的系数估计以及径向长度与曲线周长之间的比值. 展开更多
关键词 K-拟共形调和映射 面积 长度偏差 广义Hardy空间 Lavrentiev域
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多重调和映射的等周型和Fejer-Riesz型不等式
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作者 陈少林 PONNUSAMY Saminathan 王仙桃 《中国科学:数学》 CSCD 北大核心 2014年第2期127-138,共12页
本文讨论多重调和映射的等周型和Fejer-Riesz型不等式.首先,本文改进Kalaj和Meˇstrovi′c的相应结果,并将其结果推广到多重调和映射.其次,本文证明Pavlovi′c和Dostani′c的相应结果对于多重调和映射也是成立的.最后,本文建立关于多重... 本文讨论多重调和映射的等周型和Fejer-Riesz型不等式.首先,本文改进Kalaj和Meˇstrovi′c的相应结果,并将其结果推广到多重调和映射.其次,本文证明Pavlovi′c和Dostani′c的相应结果对于多重调和映射也是成立的.最后,本文建立关于多重调和映射的Fejer-Riesz型不等式. 展开更多
关键词 多重调和映射 等周型不等式 Hardy类
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Linear Connectivity, Schwarz–Pick Lemma and Univalency Criteria for Planar Harmonic Mapping 被引量:1
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作者 Shao Lin CHEN Saminathan PONNUSAMY +1 位作者 Antti RASILA Xian Tao WANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2016年第3期297-308,共12页
In this paper, we first establish a Schwarz-Pick lemma for higher-order derivatives of planar harmonic mappings, and apply it to obtain univalency criteria. Then we discuss distortion theorems, Lipschitz continuity an... In this paper, we first establish a Schwarz-Pick lemma for higher-order derivatives of planar harmonic mappings, and apply it to obtain univalency criteria. Then we discuss distortion theorems, Lipschitz continuity and univalency of planar harmonic mappings defined in the unit disk with linearly connected images. 展开更多
关键词 Harmonic mapping linearly connected domain Schwarz-Pick lemma a-close-to-convex function John constant univalency
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Thematic harvesting of agricultural resources from generic repositories
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作者 Devika P.Madalli 《Information Processing in Agriculture》 EI 2015年第2期93-100,共8页
Metadata aggregators and service providers harvest entire collections or they restrict harvesting by date or sets.However most often user approach to collections is not by dates or set names but by domain based keywor... Metadata aggregators and service providers harvest entire collections or they restrict harvesting by date or sets.However most often user approach to collections is not by dates or set names but by domain based keywords.Harvesting by domains is an issue when service providers attempt to collect data from multiple sources.The main problem is that harvesters,at present,do not have the facility to distinguish themes such as domains.In the present work,an attempt has been through Tharvest,a thematic harvester model using the proposed methodology harvesting agricultural resources from generic repositories.Tharvest encompasses a process where technical terms of the domain of agriculture are taken from AGROVOC,a multilingual,structured controlled vocabulary designed to cover concepts and terminologies in the agriculture domain.AGROVOC is deployed to provide the basis for selective harvesting.The system components and workflows are presented and described.Metadata aggregators provide end-users a single platform discovery facility to resources collected from various data providers.It is observed that aggregators such as INDUS[www.drtc.isibang/ac.in/indus]dealing with agriculture and related domains facilitate aggregating metadata from not only repositories but also other sources such as journals and enable a centralized access to full text and objects.While harvesting can be fairly simple and straight forward,it is not without its challenges.This paper intends to highlight some of the issues in harvesting metadata in agricultural domain.The particular focus is to identify agriculture related metadata from generic sets. 展开更多
关键词 Thematic harvesting Agricultural data Issues in harvesting
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