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

1999/04/29 by Andreas Defant, Defant, Andreas, Carsten Michels +1 · 1 citation
Mathematics · #46B70 (secondary) #46E40 #46M05 #46M35 (primary) #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46B70 #msc:46E40 #msc:46M05 #msc:46M35

paper · pdf · doi:10.48550/arxiv.math/9904165

12 pages

arxiv created 1999/04/29 · arxiv updated 2009/11/30

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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