当前位置: X-MOL 学术J. Math. Pures Appl. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Embeddings and characterizations of Lipschitz spaces
Journal de Mathématiques Pures et Appliquées ( IF 2.1 ) Pub Date : 2020-11-04 , DOI: 10.1016/j.matpur.2020.11.004
Óscar Domínguez , Dorothee D. Haroske , Sergey Tikhonov

In this paper we give a thorough study of Lipschitz spaces. We obtain the following new results:

(i)

Sharp Jawerth-Franke-type embeddings between the Besov and Lipschitz spaces extending the classical results for Besov and Sobolev spaces.

(ii)

Sharp embeddings between Lipschitz spaces with different parameters extending the Brézis-Wainger result.

(iii)

Characterizations for Lipschitz norms via wavelets.



中文翻译:

Lipschitz空间的嵌入和特征

在本文中,我们对Lipschitz空间进行了深入研究。我们获得以下新结果:

(一世)

Besov和Lipschitz空间之间的Sharp Jawerth-Franke型嵌入扩展了Besov和Sobolev空间的经典结果。

(ii)

Lipschitz空间之间具有不同参数的清晰嵌入扩展了Brézis-Wainger结果。

(iii)

通过小波表征Lipschitz范数。

更新日期:2020-11-16
down
wechat
bug