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On Besov spaces modelled on Zygmund spaces

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Cobos, Fernando and Domínguez, Oscar (2016) On Besov spaces modelled on Zygmund spaces. Journal of Approximation Theory, 211 . pp. 61-77. ISSN 00219045

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Official URL: http://www.sciencedirect.com/science/article/pii/S0021904516300636


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Abstract

Working on the d-torus, we show that Besov spaces Bps(Lp(logL)a) modelled on Zygmund spaces can be described in terms of classical Besov spaces. Several other properties of spaces Bps(Lp(logL)a) are also established. In particular, in the critical case s=d/p, we characterize the embedding of Bpd/p(Lp(logL)a) into the space of continuous functions.


Item Type:Article
Uncontrolled Keywords:Logarithmic Besov spaces; Zygmund spaces; Limiting interpolation methods; Trigonometric polynomials
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:39279
Deposited On:07 Oct 2016 12:09
Last Modified:10 Oct 2016 08:09

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