Introduces p-Bohr radii of order N for Banach space valued holomorphic functions and proves positivity equivalent to p-uniform C-convexity of order N when p≥2, with results for L^q spaces and operator-valued inequalities.
Aizenberg , Multidimensional analogues of Bohr’s theorem on power ser ies, Proc
6 Pith papers cite this work. Polarity classification is still indexing.
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The paper establishes sharp improved and refined operator-valued versions of Bohr's inequality on the unit disk together with their multidimensional analogues on complete circular domains in C^n.
Establishes sharp generalized Bohr inequalities for K-quasiconformal harmonic mappings on the unit disk using arbitrary majorant sequences ψ_n(r) and derives applications including convolution versions with hypergeometric functions.
Derives asymptotic estimates for classical and arithmetic Bohr radii of vector-valued holomorphic functions on unit balls of ell_q^n spaces and obtains the exact value of the mixed arithmetic Bohr radius.
Derives exact asymptotic estimates for multidimensional Bohr radii of bounded linear operators between Banach spaces and a lower bound for the arithmetic Bohr radius.
Extends arithmetic Bohr radius to Minkowski space unit balls and determines exact Bohr radius values in terms of the arithmetic version for positive-real-part holomorphic functions on Reinhardt domains.
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Bohr and Rogosinski inequalities for operator valued holomorphic functions
Introduces p-Bohr radii of order N for Banach space valued holomorphic functions and proves positivity equivalent to p-uniform C-convexity of order N when p≥2, with results for L^q spaces and operator-valued inequalities.
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Operator valued analogues of multidimensional Bohr's inequality
The paper establishes sharp improved and refined operator-valued versions of Bohr's inequality on the unit disk together with their multidimensional analogues on complete circular domains in C^n.
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Generalized Bohr inequalities for K-quasiconformal harmonic mappings and their applications
Establishes sharp generalized Bohr inequalities for K-quasiconformal harmonic mappings on the unit disk using arbitrary majorant sequences ψ_n(r) and derives applications including convolution versions with hypergeometric functions.
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Multidimensional Bohr radii for holomorphic functions with values in complex Banach spaces
Derives asymptotic estimates for classical and arithmetic Bohr radii of vector-valued holomorphic functions on unit balls of ell_q^n spaces and obtains the exact value of the mixed arithmetic Bohr radius.
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On multidimensional Bohr radii for Banach spaces
Derives exact asymptotic estimates for multidimensional Bohr radii of bounded linear operators between Banach spaces and a lower bound for the arithmetic Bohr radius.
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Arithmetic Bohr radius for the Minkowski space
Extends arithmetic Bohr radius to Minkowski space unit balls and determines exact Bohr radius values in terms of the arithmetic version for positive-real-part holomorphic functions on Reinhardt domains.