Multidimensional analogues of refined Bohr's inequality
arXiv:2103.09397
Abstract
In this paper, we first establish a version of multidimensional analogues of the refined Bohr's inequality. Then we establish two versions of multidimensional analogues of improved Bohr's inequality with initial coefficient being zero. Finally we establish two versions of multidimensional analogues of improved Bohr's inequality with the initial coefficient being replaced by absolute value of the function, and to prove that most of the results are sharp.
15 pages; A version of this article has appeared in Proc. Amer. Math.Soc