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math.FA2026
Fixed Point Rigidity of the Operator and the LYZ Conjecture
Youjiang Lin, Sudan Xing
Motivated by the recent approach of Milman, Shabelman, and Yehudayoff \cite{MilmanShabelmanYehudayoff2025}, we establish, for , a complete characterization of the fixed points…
math.FA2021
The Petty projection inequality for sets of finite perimeter
Youjiang Lin
The Petty projection inequality for sets of finite perimeter is proved. Our approach is based on Steiner symmetrization. Neither the affine Sobolev inequality nor the functional Mi…
math.FA2017
An affine Orlicz Polya-Szego principle
Youjiang Lin
The author established the affine Orlicz Polya-Szego principle for log-concave functions and conjectured that the principle can be extended to the general Orlicz Sobolev functions.…