A generalization of Marstrand's theorem
Metric Geometry
2021-04-02 v2
Abstract
In this paper we prove two general results related to Marstrand's projection theorem in a quite general formulation over separable metric spaces under a suitable transversality hypothesis (the "projections" are in principle only measurable) - the result is flexible enough to, in particular, recover most of the classical Marstrand-like theorems. Our proofs use simpler tools than many classical works in the subject, where some techniques from harmonic analysis or special geometrical structures on the spaces are used.
Cite
@article{arxiv.1412.4242,
title = {A generalization of Marstrand's theorem},
author = {Jorge Erick López and Carlos Gustavo Moreira and Waliston Luiz Silva},
journal= {arXiv preprint arXiv:1412.4242},
year = {2021}
}