Lusin type theorems for Radon measures
نویسندگان
چکیده
منابع مشابه
Lusin type theorems for Radon measures
We add to the literature the following observation. If μ is a singular measure on R which assigns measure zero to every porous set and f : R → R is a Lipschitz function which is non-differentiable μ-a.e., then for every C function g : R → R it holds μ{x ∈ Rn : f(x) = g(x)} = 0. In other words the Lusin type approximation property of Lipschitz functions with C functions does not hold with respec...
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Dopo avere provato un teorema di tipo Lusin per multifunzioni, presentiamo alcuni teoremi sulla propriett a di Scorza Dragoni. La caratteristica principale di tali teoremi consiste nel fatto che le multifunzioni in esame sono deenite e hanno valori in un contesto in cui non e' deenita alcuna metrica. Come applicazione, in particolare, si ottiene un teorema di esistenza di selezioni di Carath eo...
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ژورنال
عنوان ژورنال: Rendiconti del Seminario Matematico della Università di Padova
سال: 2017
ISSN: 0041-8994
DOI: 10.4171/rsmup/138-9