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

© European Mathematical Society & FIZ Karlsruhe & Springer-Verlag

Books Problems Set Theory Combinatorics Extremal Probl/Ramsey Th.
Graph Theory Add.Number Theory Mult.Number Theory Analysis Geometry
Probabability Personalia About Paul Erdös Publication Year Home Page