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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
中文翻译:
Lipschitz空间的嵌入和特征
更新日期:2020-11-16
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。