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.
Title resolution pending
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
verdicts
UNVERDICTED 4representative citing papers
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.
citing papers explorer
-
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.
-
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.
-
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.
-
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.