The curvilinear angle in the open unit disk in the complex plane with the vertex a is a region generated by the hyperbolic disk with the hyperbolic center at a point w and the hyperbolic radius r when w passes along Jordan curve that ends at a point a from the boundary of the disk. We investigate possibilities for cover of region that arises by arc extension of curvilinear angle with the vertex a by curvilinear angles whose vertices are points of the set E on the boundary of the unit disk for which the vertex a is not the point of porosity. The obtained results can be used in the investigation of boundary properties of arbitrary function defined on the open unit disk.
Примечание. Тезисы докладов публикуются в авторской редакции
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© 1996-2000, Институт вычислительных технологий СО РАН, Новосибирск
© 1996-2000, Сибирское отделение Российской академии наук, Новосибирск