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

A. Eduardo Gatto; Carlos Segovia

Colloquium Mathematicae (2006)

  • Volume: 105, Issue: 1, page 19-24
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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A. Eduardo Gatto, and Carlos Segovia. "Product rule and chain rule estimates for the Hajłasz gradient on doubling metric measure spaces." Colloquium Mathematicae 105.1 (2006): 19-24. <http://eudml.org/doc/283446>.

@article{A2006,
abstract = {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.},
author = {A. Eduardo Gatto, Carlos Segovia},
journal = {Colloquium Mathematicae},
keywords = {maximal function; Hajlasz gradient; product rule estimate; chain rule estimate},
language = {eng},
number = {1},
pages = {19-24},
title = {Product rule and chain rule estimates for the Hajłasz gradient on doubling metric measure spaces},
url = {http://eudml.org/doc/283446},
volume = {105},
year = {2006},
}

TY - JOUR
AU - A. Eduardo Gatto
AU - Carlos Segovia
TI - Product rule and chain rule estimates for the Hajłasz gradient on doubling metric measure spaces
JO - Colloquium Mathematicae
PY - 2006
VL - 105
IS - 1
SP - 19
EP - 24
AB - 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.
LA - eng
KW - maximal function; Hajlasz gradient; product rule estimate; chain rule estimate
UR - http://eudml.org/doc/283446
ER -

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