Microlocal approach to the Hausdorff dimension of measures
نویسندگان
چکیده
In this paper we study the dependence of geometric properties Radon measures, such as Hausdorff dimension and rectifiability singular sets, on wavefront set. We prove our results by adapting method Brummelhuis to non-analytic case. As an application obtain a general form Uncertainty Principle for measures complex sphere. This instance UP generalizes celebrated theorem Aleksandrov Forelli concerning regularity pluriharmonic measures.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2022
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2021.108088