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    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。
    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:[數學研究所] 博碩士論文

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