paper

Quasiconformal reflection with respect to the boundary of an isosceles trapezoid

arXiv:2408.01821

Abstract

We establish an upper estimate for the coefficient of quasiconformal reflection with respect to the boundary of an arbitrary isosceles trapezoid in terms of its geometric parameters; the estimate improve the result obtained in the recent paper by S.~Nasyrov, T.~Sugawa and M.~Vuorinen.

7 pages, 2 figures