Exceptional families of measures on Carnot groups-Reference-Cited by-同舟云学术

Exceptional families of measures on Carnot groups

Published:2023-01-01 Issue:1 Volume:11 Page:
ISSN:2299-3274
Container-title:Analysis and Geometry in Metric Spaces
language:en
Short-container-title:

Author:

Franchi Bruno¹,Markina Irina²

Affiliation:

1. Department of Mathematics, University of Bologna, Piazza di Porta S. Donato , 5, 40126 Bologna , Italy

2. Department of Mathematics, University of Bergen , P.O. Box 7803 , Bergen N-5020 , Norway

Abstract

AbstractWe study the families of measures on Carnot groups that have vanishing

-module, which we call

{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}

-exceptional for

p≥1

p\ge 1

. We describe a wide class of

{M}_{p}

-exceptional intrinsic Lipschitz surfaces for

p∈(0,∞)

p\in \left(0,\infty )

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/agms-2022-0148/pdf

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