Conformal Composition for Borderline Fractional Sobolev Spaces  

作　　者：Nijjwal Karak Pekka Koskela Debanjan Nandi Swadesh Kumar Sahoo 

机构地区：[1]Department of Mathematics,Birla Institute of Technoogy and Science Pilani-Hyderabad Campus,Hyderabad 500078,India [2]Department of Mathematics and Statistics,University of Jyvèaskylèa,P.O.Box 35,FI-40014 Jyvèaskylèa,Finland [3]Faculty of Mathematics and Computer Science,Weizmann Institute of Science,234 Herzl Street,Rehovot 76100,Israel [4]Department of Mathematics,Indian Institute of Technology Indore,Indore 453552,India

出　　处：《Acta Mathematica Sinica,English Series》2025年第1期457-471,共15页数学学报(英文版)

基　　金：Supported by the Academy of Finland via Centre of Excellence in Analysis and Dynamics Research(Grant No.323960);ISF(Grant No.1149/18)。

摘　　要：We establish a pointwise property for homogeneous fractional Sobolev spaces in domains with non-empty boundary,extending a similar result of Koskela–Yang–Zhou.We use this to show that a conformal map from the unit disk onto a simply connected planar domain induces a bounded composition operator from the borderline homogeneous fractional Sobolev space of the domain into the corresponding space of the unit disk.

关 键 词：BESOV Hajlasz–Triebel–Lizorkin hyperbolic CONFORMAL 

分 类 号：O177[理学—数学]