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Marstrand's Theorem revisited : projecting sets of dimension zero

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Beresnevich_2018_Marstrand_Theorem_JMAA_AAM.pdf (462.6Kb)
Date
15/04/2019
Author
Beresnevich, Victor
Falconer, Kenneth
Velani, Sang
Zafeiropoulos, Agamemnon
Keywords
Hausdorff measure/dimension
Potential theory
Orthogonal projections
QA Mathematics
T-NDAS
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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
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URL
https://arxiv.org/abs/1703.08554
https://www.sciencedirect.com/science/article/pii/S0022247X18310552
URI
http://hdl.handle.net/10023/19115

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