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math.FA2019
Embeddings and characterizations of Lipschitz spaces
Oscar Domínguez, Dorothee D. Haroske, Sergey Tikhonov
In this paper we give a thorough study of Lipschitz spaces. We obtain the following new results: (1) Sharp Jawerth-Franke-type embeddings between the Besov and Lipschitz spaces ext…
math.FA2019
Sobolev embeddings, extrapolations, and related inequalities
Oscar Domínguez, Sergey Tikhonov
In this paper we propose a unified approach, based on limiting interpolation, to investigate the embeddings for the Sobolev space $(\dot{W}^k_p(\mathcal{X}))_0, \, \mathcal{X} \in…