Exceptional families of measures on Carnot groups
Copyright policy )Exceptional families of measures on Carnot groups
AbstractWe study the families of measures on Carnot groups that have vanishingpp-module, which we callMp{M}_{p}-exceptional families. We found necessary and sufficient Conditions for the family of intrinsic Lipschitz surfaces passing through a common point to beMp{M}_{p}-exceptional forp≥1p\ge 1. We describe a wide class ofMp{M}_{p}-exceptional intrinsic Lipschitz surfaces forp∈(0,∞)p\in \left(0,\infty ).
intrinsic lipschitz graph, QA299.6-433, hausdorff measure, secondary 31b15, primary 28a78, Metric Geometry (math.MG), 510, nilpotent lie group, Primary 28A78, 53C17, Secondary 31B15, 22E30, 53c17, Mathematics - Metric Geometry, FOS: Mathematics, module of families of measures, Analysis, 22e30
intrinsic lipschitz graph, QA299.6-433, hausdorff measure, secondary 31b15, primary 28a78, Metric Geometry (math.MG), 510, nilpotent lie group, Primary 28A78, 53C17, Secondary 31B15, 22E30, 53c17, Mathematics - Metric Geometry, FOS: Mathematics, module of families of measures, Analysis, 22e30
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