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

Marko Kosti\'c; Toka Diagana

arxiv: 1903.05869 · v1 · pith:OBRFMANZnew · submitted 2019-03-14 · 🧮 math.FA

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

Toka Diagana , Marko Kosti\'c This is my paper

classification 🧮 math.FA

keywords almostautomorphicasymptoticallyclassexponentsfunctionsspacesstepanov

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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.

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

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