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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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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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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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.