This paper surveys new findings on the Grunsky operator and its link to quasiconformal extendibility, highlighting significant theories.
The Grunsky operator arises from univalence and plays a crucial role in geometric function theory. This operator also implies quasiconformal extendibility and has an intrinsic connection with Teichmüller space theory and its interactions with complex analysis and pluripotential theory. This paper surveys the recent results in this field and simultaneously provides the solutions of two old problems.
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Samuel L. Krushkal (2025) studied this question.
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