Canad. Math. Bull. 47(2004), 206-214
Printed: Jun 2004
We show that Poincar\'e inequalities with reverse doubling weights hold in a
large class of irregular domains whenever the weights satisfy certain
conditions. Examples of these domains are John domains.
reverse doubling weights, Poincaré inequality, John domains
46E35 - Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems