Distribution of points and Hardy type inequalities in spaces of homogeneous type

Details Distribution of points and Hardy type inequalities in spaces of homogeneous type Distribution of points and Hardy type inequalities in spaces of homogeneous type

2012-01-26

arxiv.org/abs/1201.5449v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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.

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