Complex interpolation of spaces of integrable functions with respect to a vector measure (Q634820)
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scientific article; zbMATH DE number 5939717
| Language | Label | Description | Also known as |
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| English | Complex interpolation of spaces of integrable functions with respect to a vector measure |
scientific article; zbMATH DE number 5939717 |
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Complex interpolation of spaces of integrable functions with respect to a vector measure (English)
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16 August 2011
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A vector measure \(m\) with values in a complex Banach space \(X\) is considered. The authors prove the interesting fact that the Calderón interpolation space \([L^{p_0}(m),L^{p_1}(m)]^{[\theta]}=L_{w}^{p(\theta)}(m).\) It is in my opinion a rather unusual result.
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interpolation space
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Banach function space
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vector measure
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