Pré-Publication, Document De Travail Année : 2021

WEYL ALMOST AUTOMORPHIC FUNCTIONS AND APPLICATIONS

Marko Kostic
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Résumé

In this paper, we reconsider the notion of a Weyl p-almost automorphic function introduced by S. Abbas [1] in 2012 and propose several new ways for introduction of the class of Weyl p-almost automorphic functions (1 ≤ p < ∞). We first analyze the introduced classes of Weyl p-almost automorphic functions of type 1, jointly Weyl p-almost automorphic functions and Weyl p-almost automorphic functions of type 2 in the one-dimensional setting. After that, we introduce and analyze generalizations of these classes in the multi-dimensional setting, working with general Lebesgue spaces with variable exponents. We provide several illustrative examples and applications to the abstract Volterra integro-differential equations.

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hal-03168920 , version 1 (14-03-2021)

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Marko Kostic. WEYL ALMOST AUTOMORPHIC FUNCTIONS AND APPLICATIONS. 2021. ⟨hal-03168920⟩
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