Communications of the
Korean Mathematical Society
CKMS
Article
ALL ARTICLES
View
Commun. Korean Math. Soc. 2011; 26(2): 215-227
Printed June 1, 2011
https://doi.org/10.4134/CKMS.2011.26.2.215
Copyright © The Korean Mathematical Society.
Weakly sufficient sets for weighted spaces $h^{-\infty}_\Phi(\mathbb B)$
Le Hai Khoi
Nanyang Technological University (NTU)
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
Article Tools
Stats or Metrics
Share this article on :
Related articles in CKMS
-
Some results in $\eta$-Ricci soliton and gradient $\rho$-Einstein soliton in a complete Riemannian manifold
2019; 34(4): 1279-1287
-
Some properties of the Berezin transform in the bidisc
2017; 32(3): 779-787
-
Generalized Sobolev Space of Roumieu Type and Some Related Problems
1999; 14(1): 111-119
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd