Almost automorphic and asymptotically almost automorphic type functions in Lebesgue spaces with variable exponents $L^{p(x)}$

Toka Diagana; Marko Kostić

paper

Almost automorphic and asymptotically almost automorphic type functions in Lebesgue spaces with variable exponents $L^{p (x)}$

arXiv:1903.05869

Abstract

The paper introduces and studies the class of (asymptotically) Stepanov almost automorphic functions with variable exponents. Any function belonging this class needs to be (asymptotically) Stepanov almost automorphic. A few relevant applications to abstract Volterra integro-differential inclusions in Banach spaces is presented.

Almost automorphic and asymptotically almost automorphic type functions in Lebesgue spaces with variable exponents Lp(x)

Abstract

Almost automorphic and asymptotically almost automorphic type functions in Lebesgue spaces with variable exponents $L^{p (x)}$