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arXiv · 2308.13757

Operator-valued analogues of multidimensional Bohr-Rogosinski inequalities

Sabir Ahammed·Molla Basir Ahamed
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Abstract

In this article, we first establish operator-valued analogues of multidimensional refined Bohr inequality. Then we establish operator-valued analogues of multidimensional improved Bohr inequality with a certain power of the norm of the initial coefficient. Finally, we establish operator-valued analogues of a multidimensional sharp version of Bohr inequality with the initial coefficient being replaced by the norm value of the function. In addition, we establish operator-valued analogues of multidimensional improved Bohr inequality using the quantity $S_r/\pi$. All the results prove to be sharp.

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Sabir Ahammed, Molla Basir Ahamed. 2023-08-26. Operator-valued analogues of multidimensional Bohr-Rogosinski inequalities. https://arxiv.org/abs/2308.13757

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