The Bohr-type inequalities for holomorphic functions with lacunary series in complex Banach space

Published 29 Apr 2024 in math.CV | (2404.18623v1)

Abstract: In this paper, we study the Bohr inequality with lacunary series to the single valued (resp. vector-valued) holomorphic function defined in unit ball of finite dimensional Banach sequence space. Also, we extend the Bohr inequality with an alternating series to the higher-dimensional space.

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