THE BERGMAN KERNEL FUNCTION AND THE SZEGO KERNEL FUNCTION

Title & Authors
THE BERGMAN KERNEL FUNCTION AND THE SZEGO KERNEL FUNCTION
CHUNG YOUNG-BOK;

Abstract
We compute the holomorphic derivative of the harmonic measure associated to a $\small{C^\infty}$bounded domain in the plane and show that the exact Bergman kernel function associated to a $\small{C^\infty}$ bounded domain in the plane relates the derivatives of the Ahlfors map and the Szego kernel in an explicit way. We find several formulas for the exact Bergman kernel and the Szego kernel and the harmonic measure. Finally we survey some other properties of the holomorphic derivative of the harmonic measure. 缀Ѐ㘰〻ሀ䝥湥牡氠瑥捨湯汯杹
Keywords
Bergman kernel;Szego kernel;Ahlfors map;harmonic measure;
Language
English
Cited by
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