Abstract
A higher dimensional generalization of the classical Bloch theorem depends in an essential way on the âboundednessâ of the family of holomorphic mappings considered. In this paper the author considers two types of such âboundedâ families and obtains explicit lower bounds of the generalized Bloch constants of these families on the hyperball in the space ${{\mathbf {C}}^n}$ in terms of universal constants which characterize the families.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.