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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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.
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.
citing papers explorer
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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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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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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.