The Zygmund Morse-Sard Theorem
نویسندگان
چکیده
منابع مشابه
The Zygmund Morse-sard Theorem
The classical Morse-Sard Theorem says that the set of critical values of f : R → R has Lebesgue measure zero if f ∈ Ck+1. We show the Ck+1 smoothness requirement can be weakened to Ck+Zygmund. This is corollary to the following theorem: For integers n > m > r > 0, let s = (n− r)/(m− r); if f : R → R belongs to the Lipschitz class Λs and E is a set of rank r for f , then f(E) has measure zero. 0...
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ژورنال
عنوان ژورنال: Journal of Geometric Analysis
سال: 1994
ISSN: 1050-6926,1559-002X
DOI: 10.1007/bf02921589