V. D. Stepanov, G. E. Shambilova, “On the iterated integral operators on the cone of monotone functions”, Sibirsk. Mat. Zh., 2025, Volume 66, Number 2,Pages <nobr>266

On the iterated integral operators on the cone of monotone functions

V. D. Stepanov^ab, G. E. Shambilova^c

^a FEB RAS Computing Center, Khabarovsk, Russia
^b Steklov Mathematical Institute, Moscow, Russia
^c Moscow State University of Civil Engineering, Moscow, Russia

Abstract: We characterize the quasilinear integral operators of iterated type on the cone of nondecreasing functions in Lebesgue spaces on the real semiaxis.

Keywords: weighted Lebesgue space, bilinear integral operator, cone of monotone functions.

UDC: 517.51

MSC: 35R30

Received: 13.11.2024
Revised: 24.12.2024
Accepted: 25.12.2024

DOI: 10.33048/smzh.2025.66.211