| A Universal Inequality for Stability of Coarse Lipschitz Embeddings |
| |
| 作者姓名： | Duan Xu DAI Ji Chao ZHANG Quan Qing FANG Long Fa SUN Ben Tuo ZHENG |
| |
| 作者单位： | 1. School of Science, Jimei University;2. School of Science, Hubei University of Technology;3. Key Laboratory of Applied Mathematics of Fujian Province University, Putian University;4. School of Mathematics and Physics, North China Electric Power University;5. Department of Mathematical Sciences, University of Memphis |
| |
| 基金项目： | Supported by National Natural Science Foundation of China (Grant Nos. 12126329, 12171266, 12126346,12101234)；;Natural Science Foundation of Fujian Province (Grant No. 2021J05237)；;the Natural Science Foundation of Hebei Province (Grant No. A2022502010)；;the Fundamental Research Funds for the Central Universities (Grant No. 2023MS164)；;the Natural Science Foundation of Fujian Province (Grant No. 2023J01805)； |
| |
| 摘 要： | Let X and Y be two pointed metric spaces.In this article,we give a generalization of the Cheng-Dong-Zhang theorem for coarse Lipschitz embeddings as follows:If f:X→Y is a standard coarse Lipschitz embedding,then for each x*∈Lip0(X) there exist α,γ> 0 depending only on f and Qx*G Lip0(Y) with ‖Qx*‖Lip ≤α‖x*‖Lip such that ■,for all x∈X.Coarse stability for a pair of metric spaces is studied.This can be consi...
|
|
|
