Parabolic rectifiability, tangent planes and tangent measures

Författare

  • Pertti Mattila University of Helsinki, Department of Mathematics and Statistics

Nyckelord:

Parabolic space, rectifiable set, C^1 graph, Lipschitz graph, tangent measure, Hausdorff measure

Abstract

We define rectifiability in \(\mathbb{R}^{n}\times\mathbb{R}\) with a parabolic metric in terms of \(C^1\) graphs and Lipschitz graphs with small Lipschitz constants and we characterize it in terms of approximate tangent planes and tangent measures. We also discuss relations between the parabolic rectifiability and other notions of rectifiability.

Sektion
Articles

Publicerad

2022-06-03

Referera så här

Mattila, P. (2022). Parabolic rectifiability, tangent planes and tangent measures. Annales Fennici Mathematici, 47(2), 855–884. https://doi.org/10.54330/afm.119821