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Chen, H. and Xu, W. (2010) Lacunary Series and Q_K Spaces on the Unit Ball. Annales Academiae Scientiarum Fennicae Mathematica, 35, 47-57.
https://doi.org/10.5186/aasfm.2010.3503

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.