Bohr inequalities for free holomorphic functions on polyballs
Functional Analysis
2017-09-29 v2 Operator Algebras
Abstract
Multivariable operator theory is used to provide Bohr inequalities for free holomorphic functions with operator coefficients on the regular polyball. In addition, we obtain analogues of Caratheodory, Fejer, and Egervary-Szazs inequalities for free holomorhic functions with operator coefficients and positive real parts on the polyball. These results are used to provide multivariable analogues of Landau's inequality and Bohr's inequality when the norm is replaced by the numerical radius of an operator.
Keywords
Cite
@article{arxiv.1709.01375,
title = {Bohr inequalities for free holomorphic functions on polyballs},
author = {Gelu Popescu},
journal= {arXiv preprint arXiv:1709.01375},
year = {2017}
}
Comments
36 pages, minor corrections