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Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations
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Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations
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eBook
Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations
2023
Overview
In this paper we present a comprehensive treatment of function spaces with logarithmic smoothness (Besov, Sobolev, Triebel-Lizorkin).
We establish the following results:
The key tools behind our results
are limiting interpolation techniques and new characterizations of Besov and Sobolev norms in terms of the behavior of the Fourier
transforms for functions such that their Fourier transforms are of monotone type or lacunary series.
Publisher
American Mathematical Society
Subject
ISBN
9781470455385, 1470455382
