Interpolation of Gentle Spaces
Keyword(s):
The notion of gentle spaces, introduced by Jaffard, describes what would be an “ideal” function space to work with wavelet coefficients. It is based mainly on the separability, the existence of bases, the homogeneity, and theγ-stability. We prove that real and complex interpolation spaces between two gentle spaces are also gentle. This shows the relevance and the stability of this notion. We deduce that Lorentz spacesLp,qandHp,qspaces are gentle. Further, an application to nonlinear approximation is presented.
Keyword(s):
1989 ◽
Vol 40
(3)
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pp. 389-395
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1996 ◽
Vol 79
(5)
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pp. 1308-1319
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1992 ◽
Vol 164
(2)
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pp. 518-523
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1965 ◽
Vol 20
(8)
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pp. 729-736
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Keyword(s):
1983 ◽
Vol 48
(3)
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pp. 286-294
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