- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnline Submission ㆍMy Manuscript - For Reviewers - For Editors
 Weakly sufficient sets for weighted spaces $h^{-\infty}_\Phi(\mathbb B)$ Commun. Korean Math. Soc. 2011 Vol. 26, No. 2, 215-227 https://doi.org/10.4134/CKMS.2011.26.2.215Printed June 1, 2011 Le Hai Khoi Nanyang Technological University (NTU) Abstract : In this paper we introduce a class $h^{-\infty}_\Phi(\mathbb B)$ of weighted spaces of harmonic functions in the unit ball $\mathbb B$ of ${\mathbb R}^n$. We define weakly sufficient sets in this space and give an explicit construction of countable sets of such a type. Various examples of weight functions are also discussed. Keywords : weighted space, harmonic function, inductive limit, weakly sufficient set MSC numbers : 31B05, 46E10 Downloads: Full-text PDF

 Copyright © Korean Mathematical Society. The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd