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http://dx.doi.org/10.4134/CKMS.2011.26.2.215

WEAKLY SUFFICIENT SETS FOR WEIGHTED SPACES hΦ-∞(B)  

Khoi, Le Hai (Division of Mathematical Sciences School of Physical and Mathematical Sciences Nanyang Technological University (NTU))
Publication Information
Communications of the Korean Mathematical Society / v.26, no.2, 2011 , pp. 215-227 More about this Journal
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 dene 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 sufcient set;
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