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A martingale approach to general Franklin systems

Volume 177 / 2006

Anna Kamont, Paul F. X. Müller Studia Mathematica 177 (2006), 251-275 MSC: 42C15, 46E40, 60G46. DOI: 10.4064/sm177-3-5

Abstract

We prove unconditionality of general Franklin systems in $L^p(X)$, where $X$ is a UMD space and where the general Franklin system corresponds to a quasi-dyadic, weakly regular sequence of knots.

Authors

  • Anna KamontInstitute of Mathematics
    Polish Academy of Sciences
    Abrahama 18
    81-825 Sopot, Poland
    e-mail
  • Paul F. X. MüllerDepartment of Mathematics
    J. Kepler University Linz
    A-4040 Linz, Austria
    e-mail

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