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A new approach towards estimating the n-dimensional Bohr radius

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

A new estimate for the Bohr radius of the family of holomorphic functions in the n-dimensional polydisk is provided. This estimate, obtained via a new approach, is sharper than those that are known up to date.

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Funding

Luis Bernal-González was supported by the Plan Andaluz de Investigación de la Junta de Andalucía FQM-127 Grant P08-FQM-03543 and by MCIU Grant PGC2018-098474-B-C21. Domingo García and Manuel Maestre were supported by MINECO and FEDER Project MTM2017-83262-C2-1-P and by Prometeo PROMETEO/2017/102. Hernán J. Cabana, Gustavo A. Muñoz-Fernández and Juan B. Seoane-Sepúlveda were supported by MCIU Grant PGC2018-097286-B-I00.

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Authors and Affiliations

  1. Departamento de Análisis Matemático, Facultad de Matemáticas, Instituto de Matemáticas Antonio de Castro Brzezicki, Universidad de Sevilla, Avenida Reina Mercedes, 41080, Sevilla, Spain

    Luis Bernal-González

  2. Instituto de Matemática Interdisciplinar (IMI), Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040, Madrid, Spain

    Hernán J. Cabana, Gustavo A. Muñoz-Fernández & Juan B. Seoane-Sepúlveda

  3. Departamento de Análisis Matemático, Universidad de Valencia, Doctor Moliner 50, 46100, Burjasot, Valencia, Spain

    Domingo García & Manuel Maestre

Authors
  1. Luis Bernal-González
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  2. Hernán J. Cabana
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  3. Domingo García
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  4. Manuel Maestre
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  5. Gustavo A. Muñoz-Fernández
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  6. Juan B. Seoane-Sepúlveda
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Correspondence to Domingo García.

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Bernal-González, L., Cabana, H.J., García, D. et al. A new approach towards estimating the n-dimensional Bohr radius. RACSAM 115, 44 (2021). https://doi.org/10.1007/s13398-020-00986-1

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  • DOI: https://doi.org/10.1007/s13398-020-00986-1

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