Approximation spaces, limiting interpolation and Besov spaces

With the help of limiting interpolation we determine the spaces obtained by iteration of approximation constructions. Then we apply the reiteration formula and limiting interpolation to investigate several problems on Besov spaces, including embeddings in Lorentz–Zygmund spaces and distribution of F...

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Vydáno v:Journal of approximation theory Ročník 189; s. 43 - 66
Hlavní autoři: Cobos, Fernando, Domínguez, Óscar
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier Inc 01.01.2015
Témata:
Approximation spaces
Besov spaces
Fourier coefficients
Limiting real interpolation
Lorentz–Zygmund spaces
46E35
Limiting real interpolation
41A65
Approximation spaces
46M35
Lorentz–Zygmund spaces
42A16
Fourier coefficients
Besov spaces
46B70
ISSN:0021-9045, 1096-0430
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Shrnutí:With the help of limiting interpolation we determine the spaces obtained by iteration of approximation constructions. Then we apply the reiteration formula and limiting interpolation to investigate several problems on Besov spaces, including embeddings in Lorentz–Zygmund spaces and distribution of Fourier coefficients.
ISSN:0021-9045
1096-0430
DOI:10.1016/j.jat.2014.09.002