Title of article
Harmonic measures of sides of a slit perpendicular to the domain boundary
Author/Authors
Prokhorov، نويسنده , , Dmitri and Zakharov، نويسنده , , Andrey، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2012
Pages
6
From page
738
To page
743
Abstract
The article is devoted to the geometry of solutions to the chordal Lِwner equation which is based on the comparison of singular solutions and harmonic measures for the sides of a slit in domains generated by a driving term. It is proved that harmonic measures of two sides of a slit in the upper half-plane which is perpendicular to the real axis are asymptotically equal to each other.
Keywords
Lِwner equation , Singular solution , Harmonic measure
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2012
Journal title
Journal of Mathematical Analysis and Applications
Record number
1562956
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