Geometric properties of the tetrablock
W{\l}odzimierz Zwonek
TL;DR
This paper proves that the tetrablock is a $ ext{C}$-convex domain and introduces a new class of such domains, providing a foundation for studying holomorphically invariant functions.
Contribution
It establishes the $ ext{C}$-convexity of the tetrablock and explores a new class of $ ext{C}$-convex domains for further complex analysis research.
Findings
Tetrablock is $ ext{C}$-convex.
Introduces a new class of $ ext{C}$-convex domains.
Provides a basis for studying holomorphically invariant functions.
Abstract
In this short note we show that the tetrablock is i -convex domain. In the proof of this fact a new class of (-convex) domains is studied. The domains are natural caniddates to study on them the behavior of holomorphically invariant functions.
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Taxonomy
TopicsHolomorphic and Operator Theory · Analytic and geometric function theory · Meromorphic and Entire Functions