Kluv\'{a}nek-Lewis-Henstock integral in a Banach space

Autor:	Kalita, Hemanta, Hazarika, Bipan
Rok vydání:	2021
Předmět:	Mathematics - Functional Analysis Primary 28B05 46G10 Secondary 46B03 46B25 46B40
Druh dokumentu:	Working Paper
Popis:	We investigate some properties and convergence theorem of Kluv\'{a}nek-Lewis-Henstock $\m-$integrability for $\m-$measurable functions that we introduced in \cite{ABH}. We give a $\m-$a.e. convergence version of Dominated (resp. Bounded) Convergence Theorem for $\m.$ We introduce Kluv\'{a}nek-Lewis-Henstock integrable of scalar-valued functions with respect to a set valued measure in a Banach space. Finally we introduce $(KL)-$type Dominated Convergence Theorem for the set-valued Kluv\'{a}nek-Lewis-Henstock integral. Comment: no of pages 16
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2106.11778 Zobrazit plný text záznamu View this record from Arxiv