Bruckner, A. M.; Mařík, J.; Weil, C. E. Baire one, null functions. (English) Zbl 0587.26004 Classical real analysis, Proc. Spec. Sess., 794th Meet. AMS, Madison/Wis. 1982, Contemp. Math. 42, 29-41 (1985). [For the entire collection see Zbl 0565.00007.] Authors’ summary: It is proved that a Baire one function which is zero almost everywhere can be written as the product of two derivatives. Moreover, if the function is nonnegative, then the factors can be selected to be nonnegative. In both cases the factors can be chosen to have arbitrarily small \(L^ p\) norm for \(1\leq p<\infty\). Reviewer: J.G.Ceder Cited in 1 Document MSC: 26A24 Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems 26A21 Classification of real functions; Baire classification of sets and functions Keywords:Baire one function; product of two derivatives Citations:Zbl 0565.00007 × Cite Format Result Cite Review PDF