Marstrand's Theorem revisited : projecting sets of dimension zero

Beresnevich, Victor; Falconer, Kenneth; Velani, Sang; Zafeiropoulos, Agamemnon

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Date

15/04/2019

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Abstract

We establish a refinement of Marstrand's projection theorem for Hausdorff dimension functions finer than the usual power functions, including an analogue of Marstrand's Theorem for logarithmic Hausdorff dimension.

Citation

Beresnevich , V , Falconer , K , Velani , S & Zafeiropoulos , A 2019 , ' Marstrand's Theorem revisited : projecting sets of dimension zero ' , Journal of Mathematical Analysis and Applications , vol. 472 , no. 2 , pp. 1820-1845 . https://doi.org/10.1016/j.jmaa.2018.12.025

Publication

Journal of Mathematical Analysis and Applications

Status

Peer reviewed

DOI

https://doi.org/10.1016/j.jmaa.2018.12.025

ISSN

0022-247X

Type

Journal article

Rights

© 2018, Elsevier Inc. This work has been made available online in accordance with the publisher's policies. This is the author created accepted version manuscript following peer review and as such may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1016/j.jmaa.2018.12.025

Collections

University of St Andrews Research

URL

https://arxiv.org/abs/1703.08554
https://www.sciencedirect.com/science/article/pii/S0022247X18310552

URI

http://hdl.handle.net/10023/19115