Convolutions in (µ, ν)-pseudo-almost periodic and (µ, ν)-pseudo-almost automorphic function spaces and applications to solve integral equations

Convolutions in (µ, ν)-pseudo-almost periodic and (µ, ν)-pseudo-almost automorphic function spaces and applications to solve integral equations

In this paper we give sufficient conditions on $k\in L^1(\mathbb{R})$ and the positive measures $\mu$, $\nu$ such that the doubly-measure pseudo-almost periodic (respectively, doubly-measure pseudo-almost automorphic) function spaces are invariant by the convolution product $\zeta f=k\ast f$. We pro...

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Bibliographic Details
Main Authors: David Békollè, Khalil Ezzinbi, Samir Fatajou, Duplex Elvis Houpa Danga, Fritz Mbounja Béssémè
Format: Article
Language:English
Published: Universidad de La Frontera 2021-04-01
Series:Cubo
Subjects:
measure theory
μ-ν-ergodic
μ-ν -pseudo almost periodic and automorphic functions
evolution families
nonautonomous equations
neutral systems
Online Access:http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2598/2052

Internet

http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2598/2052

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