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

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

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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Veröffentlicht in:arXiv.org 2024-04
Hauptverfasser: Kumar, Shankey, Saminathan Ponnusamy, G Brock Williams
Format: Artikel
Sprache:eng
Schlagworte:
Analytic functions
Banach spaces
Mathematical analysis
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Zusammenfassung: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.
ISSN:2331-8422