Interpolations of mixed-norm function spaces (Q2064914)
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scientific article; zbMATH DE number 7453224
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Interpolations of mixed-norm function spaces |
scientific article; zbMATH DE number 7453224 |
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Interpolations of mixed-norm function spaces (English)
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6 January 2022
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Mixed-norm Lebesgue spaces have been studied by many authors. This paper studies interpolation in mixed-norm function spaces. Some interpolation results are obtained on mixed-norm Lebesgue spaces, mixed-norm Lorentz spaces and mixed-norm Morrey spaces. These follow from the results that, under suitable conditions, these spaces are closed under the Calderon product and the \(\pm\) interpolation method. The main results are given for mixed-norm function spaces generated by quasi-Banach lattices.
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Calderón product
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Gagliardo-Peetre method
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\(\pm\) method
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mixed-norm function space
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ball quasi-Banach function space
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