Title of article :
On geometric characterizations for
Monge–Ampère doubling measures
Author/Authors :
Liliana Forzani، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2002
Abstract :
In this article we prove a theorem on the size of the image of sections of a convex function
under its normal mapping when the sections satisfy a geometric property. We apply
this result to get new geometric characterizations for Monge–Ampère doubling measures.
2002 Elsevier Science (USA). All rights reserved
Keywords :
Real Monge–Ampère equation , Monge–Ampère measure , Sections of convex functions , Spaces of homogeneous type , Doubling measures
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications