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Probability Theory and Related Fields

, Volume 77, Issue 3, pp 325–342 | Cite as

Hypercontraction principle and random multilinear forms

  • Wieslaw Krakowiak
  • Jerzy Szulga
Article

Summary

We study a Banach space valued random multilinear forms in independent real random variables extensively using the concept of hypercontractive maps between Lq-spaces. We show that multilinear forms share with linear forms a lot of properties, like comparability of Lq-,L0-and almost sure convergence.

Keywords

Banach Space Stochastic Process Probability Theory Statistical Theory Linear Form 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • Wieslaw Krakowiak
    • 1
  • Jerzy Szulga
    • 1
  1. 1.Institute of MathematicsWroclaw UniversityWroclawPoland

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