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S. Kumar,
S. Ponnusamy, and
G. Brock Williams
The Bohr-type inequalities for holomorphic functions with lacunary series in complex Banach space
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| Published: |
January 24, 2025. |
| Keywords: |
Bohr radius, mixed Bohr radius, Banach spaces, power series, homogeneous polynomials. |
| Subject [2010]: |
Primary: 32A05, 32A22; Secondary: 46B20, 46G25, 46E50. |
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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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| Acknowledgements
The work of the first author is supported by the institute postdoctoral fellowship of IIT Madras, India.
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| Author information
S. Kumar
Department of Mathematics
Indian Institute of Technology Madras
Chennai 600036, India
shankeygarg93@gmail.com
S. Ponnusamy
Department of Mathematics
Indian Institute of Technology Madras
Chennai 600036, India
samy@iitm.ac.in
G. Brock Williams
Department of Mathematics and Statistics
Texas Tech University
Lubbock, TX 79409, USA
Brock.Williams@ttu.edu
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