Article citationsMore>>

El-Sayed Ahmed, A. and Bakhit, M.A. (2009) Holomorphic N_k and Bergman-Type Spaces, Part of the Operator Theory: Advances and Applications Book Series. Birkhäuser Verlag, Basel-Switzerland, 121-138.

has been cited by the following article:

• TITLE: Hadamard Gaps and Nk-type Spaces in the Unit Ball

  AUTHORS: M. A. Bakhit, A. E. Shammaky

  KEYWORDS: Nk-type Spaces, Beurling-Type Space, Hadamard Gaps

  JOURNAL NAME: Advances in Pure Mathematics, Vol.7 No.4, April 25, 2017

  ABSTRACT: 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.