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Hypercontraction principle and random multilinear forms
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  • Published: March 1988

Hypercontraction principle and random multilinear forms

  • Wieslaw Krakowiak1 &
  • Jerzy Szulga1 

Probability Theory and Related Fields volume 77, pages 325–342 (1988)Cite this article

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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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Authors and Affiliations

  1. Institute of Mathematics, Wroclaw University, Pl. Grunwaldzki 2-4, PL-50384, Wroclaw, Poland

    Wieslaw Krakowiak & Jerzy Szulga

Authors
  1. Wieslaw Krakowiak
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  2. Jerzy Szulga
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Additional information

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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  • Received: 09 April 1985

  • Revised: 30 October 1987

  • Issue Date: March 1988

  • DOI: https://doi.org/10.1007/BF00319292

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Keywords

  • Banach Space
  • Stochastic Process
  • Probability Theory
  • Statistical Theory
  • Linear Form
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