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On Holomorphic Coverings of Planar Domains.
- Source :
-
Mathematical Notes . Dec2022, Vol. 112 Issue 5/6, p674-684. 11p. - Publication Year :
- 2022
-
Abstract
- We have previously shown that a -fold holomorphic covering of a domain in the complex plane by another domain is extremal in the majorization principle for -valent functions and quadratic forms associated with Green's functions of these domains. In this paper, dual majorization principles involving both Green's and Neumann functions are obtained, in which -fold coverings are also extremal. The results are exemplified by applications of these principles to geometric function theory. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 112
- Issue :
- 5/6
- Database :
- Academic Search Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 161077285
- Full Text :
- https://doi.org/10.1134/S0001434622110050