Harman, Aziz2021-04-262021-04-262019Harman, A. (2019). The log-conditions for the variable exponent Hardy inequality. Nonlinear Analysis and Differential Equations, 7 (1), pp. 125-132. https://doi.org/10.12988/nade.2019.910151314-75872367-4814https://doi.org/10.12988/nade.2019.91015https://hdl.handle.net/20.500.12402/2980In this note we discuss a logarithmic regularity condition in neighborhood of the origin on the exponent function p(x) in dependence of the weights v, ω for the variable exponent Hardy inequality v (x) 1 p(.) Zx 0 f(t)dt Lp(.)(0,l) ≤ C ω (x) 1 p(.) f (x) Lp(.)(0,l) to hold.eninfo:eu-repo/semantics/openAccessAttribution-NonCommercial-ShareAlike 3.0 United StatesHardy InequalityVariable ExponentWeighted InequalityLogarithmic Regularity ConditionArticle71125132