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<p>This article is motivated by the concept of mixed Bohr radius for scalar-valued functions defined in Banach sequence spaces. More precisely, it aims to determine bounds of mixed Bohr radii for holomorphic functions defined on Banach sequence spaces with values in Banach spaces. We determine an upper bound of the mixed Bohr radius by establishing a connection between the mixed Bohr radius and the arithmetic Bohr radius. However, the lower bound is obtained through the implementation of techniques developed recently by Defant, Galicer, Maestre, Mansilla, Muro, and Schwarting.</p>

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Bounds on mixed Bohr radii of vector-valued holomorphic functions on Banach spaces

  • 期刊论文

  • 发表日期：

    2026年2月26日

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  • Shankey Kumar,
  • Saminathan Ponnusamy

摘要

This article is motivated by the concept of mixed Bohr radius for scalar-valued functions defined in Banach sequence spaces. More precisely, it aims to determine bounds of mixed Bohr radii for holomorphic functions defined on Banach sequence spaces with values in Banach spaces. We determine an upper bound of the mixed Bohr radius by establishing a connection between the mixed Bohr radius and the arithmetic Bohr radius. However, the lower bound is obtained through the implementation of techniques developed recently by Defant, Galicer, Maestre, Mansilla, Muro, and Schwarting.