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

A. Eduardo Gatto; Carlos Segovia

doi:10.4064/cm105-1-2

Wydawnictwa / Czasopisma IMPAN / Colloquium Mathematicum / Wszystkie zeszyty

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

Tom 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

Streszczenie

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.

Autorzy

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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