Some inequalities and superposition operator in the space of regulated functions

Autor:	Olszowy Leszek, Zając Tomasz
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	space of regulated functions measure of noncompactness integral inequalities superposition operator primary 47h30 secondary 46e40 Analysis QA299.6-433
Zdroj:	Advances in Nonlinear Analysis, Vol 9, Iss 1, Pp 1278-1290 (2019)
Druh dokumentu:	article
ISSN:	2191-9496 2191-950X
DOI:	10.1515/anona-2020-0050
Popis:	Some inequalities connected to measures of noncompactness in the space of regulated function R(J, E) were proved in the paper. The inequalities are analogous of well known estimations for Hausdorff measure and the space of continuous functions. Moreover two sufficient and necessary conditions that superposition operator (Nemytskii operator) can act from R(J, E) into R(J, E) are presented. Additionally, sufficient and necessary conditions that superposition operator Ff : R(J, E) → R(J, E) was compact are given.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/e11bb4d463d14e75b3600670a67fe01e Zobrazit plný text záznamu View record in DOAJ