Photo by joelfilip from unsplash
Abstract We study the families of measures on Carnot groups that have vanishing p p -module, which we call M p {M}_{p} -exceptional families. We found necessary and sufficient Conditions… Click to show full abstract
Abstract We study the families of measures on Carnot groups that have vanishing p p -module, which we call M p {M}_{p} -exceptional families. We found necessary and sufficient Conditions for the family of intrinsic Lipschitz surfaces passing through a common point to be M p {M}_{p} -exceptional for p ≥ 1 p\ge 1 . We describe a wide class of M p {M}_{p} -exceptional intrinsic Lipschitz surfaces for p ∈ ( 0 , ∞ ) p\in \left(0,\infty ) .
Keywords:
measures carnot;
geometry;
families measures;
exceptional families;
carnot groups
Journal Title: Analysis and Geometry in Metric Spaces
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Analysis and Geometry in Metric Spaces
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!