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.
Paulsen, Gelu Popescu and Dinesh Singh , On Bohr’s inequality, Proc
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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.
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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.