»ã±¨±êÌâ(Title)£ºBoundary extensions of quasi-isometries on pseudo-convex domains£¨Î±Í¹ÓòÉÏ×¼µÈ¾àµÄÌìǵÀ©´ó£©

»ã±¨ÈË (Speaker)£ºÁõ¾¢ËÉ£¨ÖпÆÔºÊýѧÓëϵͳ¿Æѧ×êÑÐÔº£©

»ã±¨¹¦·ò (Time)£º2024Äê7ÔÂ25ÈÕ(ÖÜËÄ) 10:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿GJ303

Ô¼ÇëÈË(Inviter)£ºÏ¯¶«ÃË¡¢Àî½ú¡¢Õŵ¿­¡¢Îâ¼ÓÓÂ

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»ã±¨ÌáÒª£ºIn this talk£¬by using the Gehring-Hayman-type theorem on some complex domains in C^n, we will give some results on bi-H?lder extensions not only for biholomorphisms, but also for more general Kobayashi metric quasiisometries between these domains. At last, we show that the identity map for the smoothly bounded pseudoconvex domain of finite type in C^2 extends to a bi-H?lder map between the Euclidean boundary and Gromov boundary.