On spaces of functions of variable smoothness defined by pseudodifferential operators (Q2714725)
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scientific article; zbMATH DE number 1607208
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On spaces of functions of variable smoothness defined by pseudodifferential operators |
scientific article; zbMATH DE number 1607208 |
Statements
20 June 2001
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function spaces
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pseudodifferential operators
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real and complex interpolation theorems
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spaces of Besov type
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On spaces of functions of variable smoothness defined by pseudodifferential operators (English)
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Let \(B^{s,a}_{p,q} ({\mathbb R}^n)\) be spaces of Besov type, where \(1 \leq p \leq \infty\), \(1 \leq q \leq \infty\), \( s > 0\), have the usual meaning and \(a\) stands for the symbol of a related pseudodifferential operator. These spaces have been introduced by H.-G. Leopold. It is the aim of this paper to study new equivalent norms in terms of differences and to prove real and complex interpolation theorems.NEWLINENEWLINEFor the entire collection see [Zbl 0952.00006].
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