Generalized c-almost periodic type functions in \mathbb Rⁿ

2021/03/29 by Kostić, Marko
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2103.15821

Abstract

In this paper, we analyze multi-dimensional quasi-asymptotically c-almost periodic functions and their Stepanov generalizations as well as multi-dimensional Weyl c-almost periodic type functions. We also analyze several important subclasses of the class of multi-dimensional quasi-asymptotically c-almost periodic functions and reconsider the notion of semi-c-periodicity in the multi-dimensional setting, working in the general framework of Lebesgue spaces with variable exponent. We provide certain applications of our results to the abstract Volterra integro-differential equations in Banach spaces.

Related

• Generalized almost periodic and generalized asymptotically almost periodic type functions in Lebesgue spaces with variable exponents L^p(x)
• Remotely c-almost periodic type functions in \mathbb Rⁿ
• Multi-dimensional Weyl almost periodic type functions and applications
• Multi-dimensional ρ-almost periodic type functions and applications
• Multi-dimensional almost periodic type functions and applications