13 citations · 35 across the 28 of their papers we have counts for
5 papers · 2 filters
The Grunsky operator and quasiconformality: old and new
Samuel L. Krushkal
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 conn…
Teichmuller balls and biunivalent holomorphic functions
Samuel L. Krushkal
Biunivalent holomorphic functions form an interesting class in geometric function theory and are connected with special functions and solutions of complex differential equations. T…
All Teichmuller spaces are not starlike
Samuel L. Krushkal
This paper is the final step in solving the problem of starlikeness of Teichmuller spaces in Bers' embedding. This step concerns the case of finite dimensional Teichmuller spaces $…
Polygons and non-starlikeness of Teichmuller spaces
Samuel L. Krushkal
The problem of starlikeness of Teichmuller spaces in Bers' embedding was raised in 1974 and is solved (negatively) for Teichmuller spaces of sufficiently large dimensions. The orig…
Quantitative theory of reflections across quasiconformal polygonal lines
Samuel L. Krushkal
The paper continues the author's research in the problem of quantitative investigation of basic curvelinear quasiinvariants of quasiconformal curves. It concerns polygons with infi…