Atomic, molecular and wavelet decomposition of generalized 2-microlocal Besov spaces (Q989234)
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scientific article; zbMATH DE number 5776297
| Language | Label | Description | Also known as |
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| English | Atomic, molecular and wavelet decomposition of generalized 2-microlocal Besov spaces |
scientific article; zbMATH DE number 5776297 |
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Atomic, molecular and wavelet decomposition of generalized 2-microlocal Besov spaces (English)
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30 August 2010
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This paper deals with the 2-microlocal Besov spaces previously considered by the author in [Rev. Mat. Complut. 22, 227--251(2009; Zbl 1166.42011)], in that case with variable integrability. The main results refer to the atomic and molecular representations of elements in such a space in the corresponding discrete 2-microlocal Besov space. Also a wavelet decomposition is obtained and used to prove the invariance of these spaces under pseudo-differential operators of order 0.
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Besov spaces
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microlocal spaces
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wavelets
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atomic decomposition
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molecular decomposition
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