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A complex interpolation formula for tensor products of vector-valued Banach function spaces

Andreas Defant·Carsten Michels
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Abstract

We prove a complex interpolation formula for the injective tensor product of vector-valued Banach function spaces satisfying certain geometric assumptions. This result unifies results of Kouba, and moreover, our approach offers an alternate proof of Kouba's interpolation formula for scalar-valued Banach function spaces.

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Andreas Defant, Carsten Michels. 1999-04-29. A complex interpolation formula for tensor products of vector-valued Banach function spaces. https://arxiv.org/abs/math/9904165

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