@inbook{4252ca087c6f4b40bbfc169f2b67878f,
title = "On Pseudodifferential Operators with Slowly Oscillating Symbols on Variable Lebesgue Spaces with Khvedelidze Weights",
abstract = "Let p(⋅) be a variable exponent in the class LH∗(ℝ) and ϱ be a Khvedelidze weight. We prove that if a∈S1,00(ℝ×ℝ) slowly oscillates at infinity in the first variable, then the condition limR→∞inf|x|+|ξ|≥R|a(x,ξ)|>0 is sufficient for the Fredholmness of the pseudodifferential operator Op(a) on the weighted variable Lebesgue space Lp(⋅)(ℝ,ϱ).",
author = "Cl{\'a}udio Fernandes and Oleksiy Karlovych",
note = "Funding Information: info:eu-repo/grantAgreement/FCT/Concurso de avalia{\c c}{\~a}o no {\^a}mbito do Programa Plurianual de Financiamento de Unidades de I&D (2017%2F2018) - Financiamento Base/UIDB%2F00297%2F2020/PT# info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00297%2F2020/PT# Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.",
year = "2025",
doi = "10.1007/978-3-031-80486-1_8",
language = "English",
series = "Operator Theory: Advances and Applications",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "201--214",
booktitle = "Operator Theory",
address = "Germany",
}