Product rule and chain rule estimates for the Hajłasz gradient on doubling metric measure spaces

• Autorzy: A. Eduardo Gatto , Carlos Segovia
• Języki publikacji: EN

Abstrakty

EN

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

Kategorie tematyczne

• 42B35: Function spaces arising in harmonic analysis
• 26A33: Fractional derivatives and integrals
• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
• 46G05: Derivatives
• 28A15: Abstract differentiation theory, differentiation of set functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2006
• Tom: 105
• Numer: 1
• Strony: 19-24

Daty

wydano

2006

Twórcy

autor

A. Eduardo Gatto

• Department of Mathematics, DePaul University, Chicago, IL 60614, U.S.A.

autor

Carlos Segovia

• Instituto Argentino de Matemática, (IAM-CONICET), Saavedra 15, Buenos Aires, Argentina

Identyfikatory

DOI

10.4064/cm105-1-2