A generalization of Marstrand's theorem

Jorge Erick López; Carlos Gustavo Moreira; Waliston Luiz Silva

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arXiv · 1412.4242

A generalization of Marstrand's theorem

Jorge Erick López·Carlos Gustavo Moreira·Waliston Luiz Silva

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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.

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Jorge Erick López, Carlos Gustavo Moreira, Waliston Luiz Silva. 2014-12-13. A generalization of Marstrand's theorem. https://arxiv.org/abs/1412.4242

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