A complex interpolation formula for tensor products of vector-valued Banach function spaces
Functional Analysis
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/9904165,
title = {A complex interpolation formula for tensor products of vector-valued Banach function spaces},
author = {Andreas Defant and Carsten Michels},
journal= {arXiv preprint arXiv:math/9904165},
year = {2007}
}
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12 pages