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arXiv · 1502.05196

On various approaches to Besov-type spaces of variable smoothness

A. I. Tyulenev
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Abstract

The paper is concerned with Besov spaces of variable smoothness $B^{\varphi_{0}}_{p,q}(\mathbb{R}^{n},\{t_{k}\})$, in which the norms are defined in terms of convolutions with smooth functions. A relation is found between the spaces $B^{\varphi_{0}}_{p,q}(\mathbb{R}^{n},\{t_{k}\})$ and the spaces $\widetilde{B}^{l}_{p,q,r}(\mathbb{R}^{n},\{t_{k}\})$, which were introduced earlier by the author.

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BibTeXRIS

A. I. Tyulenev. 2015-02-18. On various approaches to Besov-type spaces of variable smoothness. https://arxiv.org/abs/1502.05196

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