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math.CV2024
Refined Bohr inequalities and a refined Bohr-Rogosinski inequality on complex Banach spaces
Molla Basir Ahamed, Sabir Ahammed, Hidetaka Hamada
In this paper, we first establish refined versions of the Bohr inequalities for the class of holomorphic functions from the unit ball of a complex Banach space into $\mat…
math.CV2024
Bieberbach conjecture, Bohr radius, Bloch constant and Alexander's theorem in infinite dimensions
Hidetaka Hamada, Gabriela Kohr, Mirela Kohr
In this paper, we investigate holomorphic mappings on the unit ball of a complex Banach space of the form , where is a holomorphic function on $\ma…