Marstrand's Theorem revisited: projecting sets of dimension zero

Victor Beresnevich, Kenneth Falconer, Sang Velani, Agamemnon Zafeiropoulos

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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.
Original languageEnglish
Pages (from-to)1820-1845
Number of pages26
JournalJournal of Mathematical Analysis and Applications
Issue number2
Early online date11 Dec 2018
Publication statusPublished - 15 Apr 2019


  • Hausdorff measure/dimension
  • Potential theory
  • Orthogonal projections


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