On Modified Strong Dyadic Integral and Derivative

• Date: 2002
• Main Authors: Golubov, B. I., Голубов, Б. И.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2002
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4101
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For functions f ∈ L(R +), we define a modified strong dyadic integral J(f) ∈ L(R +) and a modified strong dyadic derivative D(f) ∈ L(R +). We establish a necessary and sufficient condition for the existence of the modified strong dyadic integral J(f). Under the condition \(\smallint _{R_ + }\) f...