WEAKLY SUFFICIENT SETS FOR WEIGHTED SPACES hΦ-(B)

Title & Authors
WEAKLY SUFFICIENT SETS FOR WEIGHTED SPACES hΦ-(B)
Khoi, Le Hai;

Abstract
In this paper we introduce a class $\small{h^{-\infty}_{\Phi}(\mathbb{B})}$ of weighted spaces of harmonic functions in the unit ball $\small{\mathbb{B}}$ of $\small{\mathbb{R}^n}$. 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;
Language
English
Cited by
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