Distribution of points and Hardy type inequalities in spaces of   homogeneous type
  In the setting of spaces of homogeneous type, we study some Hardy type inequalities, which notably appeared in the proofs of local T(b) theorems as in [AR]. We give some suffi cient conditions ensuring their validity, related to the geometry and distribution of points in the homogeneous space. We study the relationships between these conditions and give some examples and counterexamples in the complex plane. 
Eddy Routin (LM-Orsay)
math.CA