On the generalized squeezing functions and Fridman invariants of special domains
Feng Rong, Shichao Yang
TL;DR
This paper investigates the properties of generalized squeezing functions and Fridman invariants for special domains, providing explicit formulas and examples of domains with non-plurisubharmonic invariants.
Contribution
It offers explicit characterizations of these functions and invariants for specific domains, including n-dimensional annuli, and presents examples with non-plurisubharmonic properties.
Findings
Explicit formulas for generalized squeezing functions of n-dimensional annuli
Characterization of Fridman invariants for special domains
Examples of domains with non-plurisubharmonic invariants
Abstract
The main purpose of this paper is to study the generalized squeezing functions and Fridman invariants of some special domains. As applications, we give the precise form of generalized squeezing functions and Fridman invariants of various domains such as n-dimensional annuli. Furthermore, we provide domains with non-plurisubharmonic generalized squeezing function or Fridman invariant.
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Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Analytic and geometric function theory