On an analogue of Schwarz's reflection principle
V.V. Napalkov (Jr.)
TL;DR
This paper extends Schwarz's reflection principle to the Bergman space on the complex plane, specifically for unbounded quasidisks, providing a new theoretical insight into complex analysis.
Contribution
It introduces an analogue of Schwarz's reflection principle applicable to unbounded quasidisks within the context of Bergman spaces.
Findings
Established a reflection principle for unbounded quasidisks
Extended classical Schwarz reflection to Bergman spaces
Provided theoretical foundation for further complex analysis studies
Abstract
We consider the Bergman space on the complex plane. We prove an analogue of Schwarz's reflection principle for unbounded quasidisks.
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Taxonomy
TopicsHolomorphic and Operator Theory · Analytic and geometric function theory · Meromorphic and Entire Functions