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Arithmetic Bohr radius for the Minkowski space

  • Vasudevarao Allu ORCID logo EMAIL logo , Himadri Halder ORCID logo and Subhadip Pal ORCID logo
Published/Copyright: June 26, 2024
Forum Mathematicum
From the journal Forum Mathematicum Volume 37 Issue 3

Abstract

The main aim of this paper is to study the arithmetic Bohr radius for holomorphic functions defined on a Reinhardt domain in ℂ n with positive real part. The present investigation is motivated by the work of Lev Aizenberg [Proc. Amer. Math. Soc. 128 (2000), 2611–2619]. A part of our study in the present paper includes a connection between the classical Bohr radius and the arithmetic Bohr radius of unit ball in the Minkowski space ℓ q n , 1 ≤ q ≤ ∞ . Further, we determine the exact value of a Bohr radius in terms of arithmetic Bohr radius.

Keywords: Bohr radius; arithmetic Bohr radius; holomorphic functions; Reinhardt domain
MSC 2020: 32A05; 32A10; 32A17; 30B10

Communicated by Shigeharu Takayama

Funding statement: The research of the first named author is supported by SERB-CRG (DST), Govt. of India. The research of the second named author is supported by Institute Post-Doctoral Fellowship of IIT Bombay, and the research of the third named author is supported by DST-INSPIRE Fellowship (IF 190721), New Delhi, India.

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Received: 2023-11-22
Revised: 2024-04-10
Published Online: 2024-06-26
Published in Print: 2025-02-01

© 2024 Walter de Gruyter GmbH, Berlin/Boston

Articles in the same Issue

  1. Frontmatter
  2. Square-integrable representations and the coadjoint action of solvable Lie groups
  3. Deviation probabilities for extremal eigenvalues of large Chiral non-Hermitian random matrices
  4. Nef vector bundles on a hyperquadric with first Chern class two
  5. Scaling spectrum of a class of self-similar measures with product form on ℝ
  6. Idempotent decomposition of regularity and characterization for the accumulation of associated spectrum
  7. Geodesic orbit Randers metrics in homogeneous bundles over generalized Stiefel manifolds
  8. Proof of some conjectures of Guo and of Tang
  9. On Absolute and Quantitative Subspace Theorems
  10. Birational equivalence of the Zassenhaus varieties for basic classical Lie superalgebras and their purely-even reductive Lie subalgebras in odd characteristic
  11. Geometric approach to the Moore–Penrose inverse and the polar decomposition of perturbations by operator ideals
  12. The Weil bound for generalized Kloosterman sums of half-integral weight
  13. Relative Rota–Baxter groups and skew left braces
  14. Asai gamma factors over finite fields
  15. Representations of non-finitely graded Lie algebras related to Virasoro algebra
  16. Multiple solutions for fractional elliptic systems
  17. Arithmetic Bohr radius for the Minkowski space
  18. On Strichartz estimates for many-body Schrödinger equation in the periodic setting
https://doi.org/10.1515/forum-2023-0425
Keywords for this article
Bohr radius; arithmetic Bohr radius; holomorphic functions; Reinhardt domain

Articles in the same Issue

  1. Frontmatter
  2. Square-integrable representations and the coadjoint action of solvable Lie groups
  3. Deviation probabilities for extremal eigenvalues of large Chiral non-Hermitian random matrices
  4. Nef vector bundles on a hyperquadric with first Chern class two
  5. Scaling spectrum of a class of self-similar measures with product form on ℝ
  6. Idempotent decomposition of regularity and characterization for the accumulation of associated spectrum
  7. Geodesic orbit Randers metrics in homogeneous bundles over generalized Stiefel manifolds
  8. Proof of some conjectures of Guo and of Tang
  9. On Absolute and Quantitative Subspace Theorems
  10. Birational equivalence of the Zassenhaus varieties for basic classical Lie superalgebras and their purely-even reductive Lie subalgebras in odd characteristic
  11. Geometric approach to the Moore–Penrose inverse and the polar decomposition of perturbations by operator ideals
  12. The Weil bound for generalized Kloosterman sums of half-integral weight
  13. Relative Rota–Baxter groups and skew left braces
  14. Asai gamma factors over finite fields
  15. Representations of non-finitely graded Lie algebras related to Virasoro algebra
  16. Multiple solutions for fractional elliptic systems
  17. Arithmetic Bohr radius for the Minkowski space
  18. On Strichartz estimates for many-body Schrödinger equation in the periodic setting
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