Convergence rates of harmonic measures and extremal lengths of sets in the upper half plane

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/77826

Title:	Convergence rates of harmonic measures and extremal lengths of sets in the upper half plane
Authors:	黃聖傑;Huang, Sheng-Jie
Contributors:	數學系
Keywords:	調和測度;複分析;極值長度;Harmonic measure;Extremal lengths;Complex analysis
Date:	2018-07-20
Issue Date:	2018-08-31 14:58:29 (UTC+8)
Publisher:	國立中央大學
Abstract:	Beurling 估計表達出所有的調和測度都小於收斂速度的二分之一次方。這篇論文中所做的是在上半平面線段調和測度收斂到零的速度跟收斂速度一致，以及所有上半平面的聯通子集收斂到零的速度有下界跟收斂半徑一致。還有極值長度在上半平面的各種到零跟無限的收斂或發散情況探討。;Consider Beurling estimate we have w(z,B(\zeta,r)\cap artial\Omega,\Omega)<Cr^{1/2}. Now I will do harmonic measure convergence rate on upper-half plane with slash and extremal distance convergence or disconvergence rate on upper-half plane.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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