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Bull. Korean Math. Soc. 2010; 47(5): 933-950

Printed September 1, 2010

https://doi.org/10.4134/BKMS.2010.47.5.933

Copyright © The Korean Mathematical Society.

Sets of uniqueness, weakly sufficient sets and sampling sets for $A^{-\infty}(\mathbb B)$

Le Hai Khoi

Nanyang Technological University (NTU)

Abstract

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We study a relationship between sets of uniqueness, weakly sufficient sets and sampling sets in the space $A^{-\infty}(\mathbb B)$ of holomorphic functions with polynomial growth on the unit ball of ${\mathbb C}^n \ (n\ge 1)$.

Keywords: sampling set, weakly sufficient set, set of uniqueness, function algebra, polynomial growth

MSC numbers: 32A38, 46A13

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