Zentralblatt MATH
Publications of (and about) Paul Erdös
Zbl.No: 133.30403
Autor: Csiszár, Imre; Erdös, Pál
Title: On the function g(t) = limsupz ––> +oo (f(x+t)-f(x)) (In English)
Source: Publ. Math. Inst. Hung. Acad. Sci., Ser. A 9, 603-606 (1964).
Review: Sia f(x), x in R1, misurabile e g(t) \equiv maxlimx ––> +oo |f(x+t)-f(x)|, t in R1. Gli AA. dimostrano che g(t) risulta: limitata in ogni intervallo finito se per t in R1 è g(t) <+oo; limitata in ogni intervallo [a,b], 0 < a < b <+oo, se per t > 0 è g(t) <+oo.
Reviewer: C.Vinti
Classif.: * 28A99 Classical measure theory
26A99 Functions of one real variable
Index Words: differentiation and integration, measure theory
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