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Characterizations of logarithmic Besov spaces in terms of differences, Fourier-analytical decompositions, wavelets and semi-groups.

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Cobos, Fernando and Domínguez, Oscar and Triebel, Hans (2016) Characterizations of logarithmic Besov spaces in terms of differences, Fourier-analytical decompositions, wavelets and semi-groups. Journal of Functional Analysis, 270 (12). pp. 4386-4425. ISSN 0022-1236

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Official URL: http://www.sciencedirect.com/science/article/pii/S0022123616001051


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Abstract

We work with Besov spaces Bp,q0,b defined by means of differences, with zero classical smoothness and logarithmic smoothness with exponent b. We characterize Bp,q0,b by means of Fourier-analytical decompositions, wavelets and semi-groups. We also compare those results with the well-known characterizations for classical Besov spaces Bp,qs.


Item Type:Article
Uncontrolled Keywords:Fourier-analytical decompositions; Limiting interpolation spaces; Logarithmic Besov spaces; Wavelets
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:37707
Deposited On:19 May 2016 08:55
Last Modified:20 May 2016 11:46

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