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

碩士 === 國立中央大學 === 數學系 === 106 === Consider Beurling estimate we have w(z,B(\zeta,r)\cap \partial\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....

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Bibliographic Details
Main Authors: Huang Sheng-Jie, 黃聖傑
Other Authors: Xiang Fang
Format: Others
Language:en_US
Published: 2018
Online Access:http://ndltd.ncl.edu.tw/handle/m9h2pk
Description
Summary:碩士 === 國立中央大學 === 數學系 === 106 === Consider Beurling estimate we have w(z,B(\zeta,r)\cap \partial\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.