A+ CATEGORY SCIENTIFIC UNIT

Product rule and chain rule estimates for the Haj/lasz gradient on doubling metric measure spaces

Volume 105 / 2006

A. Eduardo Gatto, Carlos Segovia Colloquium Mathematicum 105 (2006), 19-24 MSC: 46E35, 42B35, 26A33; Secondary 28A15, 46G05. DOI: 10.4064/cm105-1-2

Abstract

We use the Calderón Maximal Function to prove the Kato–Ponce Product Rule Estimate and the Christ–Weinstein Chain Rule Estimate for the Haj/lasz gradient on doubling measure metric spaces.

Authors

  • A. Eduardo GattoDepartment of Mathematics
    DePaul University
    Chicago, IL 60614, U.S.A.
    e-mail
  • Carlos SegoviaInstituto Argentino de Matemática
    (IAM-CONICET)
    Saavedra 15
    Buenos Aires, Argentina
    e-mail

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