Hadamard Gaps and <i>N</i><sub>k</sub>-type Spaces in the Unit Ball

• 作者: A. E. Shammaky M. A. Bakhit
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: Nk-type SPACES Beurling-Type Space HADAMARD GAPS
• 年，卷（期）: 2017,（4）
• 页码范围: 306-313
• 页数: 8页
• 分类号: O1

摘要

In this paper, we introduce a class of holomorphic Banach spaces NK of functions on the unit ball B of Cn. We develop the necessary and sufficient condition for NK(B) spaces to be non-trivial and we discuss the nesting property of NK(B)?spaces. Also, we obtain some characterizations of functions with Hadamard gaps in NK(B) spaces. As a consequence, we prove a necessary and sufficient condition for that NK(B) spaces coincides with the Beurling-type space.