SPACES WITH THE UNDER-EXPONENTIAL GROWING WEIGHTS
Authors:
Type:
Article
Pages:
from 76
to 78
Status:
Published
Received:
29.08.2014
Accepted:
11.03.2020
Published:
17.06.2014
Language:
Russian
Keywords:
spaces with the under-exponential growing weights, Riemann–Liouville fractional integral.
Abstract (English):
We construct the new class of spaces with the under-exponential growing weights, research the Riemann–Liouville fractional integral in this spaces and discuss the applications of these spaces.
We construct the new class of spaces with the under-exponential growing weights, research the Riemann–Liouville fractional integral in this spaces and discuss the applications of these spaces.
Keywords:
spaces with the under-exponential growing weights, Riemann–Liouville fractional integral.
spaces with the under-exponential growing weights, Riemann–Liouville fractional integral.
Через Φ(0, ∞)=Ф обозначим множество положительных, монотонно возрастающих и дифференцируемых функций ρ+(t), t∈(0,∞)таких, что:
а)ρ(0)=1,
б)ρ(0)>)0
и для которых выполняется соотношение:
1. Iosida K. Funktsional´nyy analiz: Uchebnik/ K. Iosida, per. s ang. V.M. Volosova.-- M.: Mir, 1967---624 s.
2. Kostin A.V. K teorii funktsional´nykh prostranstv Stepanova/ A.V. Kostin, V.A. Kostin.--- Voronezh: Izdatel´sko poligraficheskiy tsentr VGU, 2007.--- 259 s.
3. Kreyn S.G. Lineynye differentsial´nye uravneniya v banakhovom prostranstve/ S.G. Kreyn.-- M.: Nauka, 1967.---464 s.
