Summary
We study a Banach space valued random multilinear forms in independent real random variables extensively using the concept of hypercontractive maps between L q-spaces. We show that multilinear forms share with linear forms a lot of properties, like comparability of L q-,L 0-and almost sure convergence.
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This author's contribution to a revision of this paper was supported by AFOSR Grant No. F49620 85C 0144
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Krakowiak, W., Szulga, J. Hypercontraction principle and random multilinear forms. Probab. Th. Rel. Fields 77, 325–342 (1988). https://doi.org/10.1007/BF00319292
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DOI: https://doi.org/10.1007/BF00319292