The log-conditions for the variable exponent Hardy inequality

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Tarih

2019

Dergi Başlığı

Dergi ISSN

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Hikari

Erişim Hakkı

info:eu-repo/semantics/openAccess
Attribution-NonCommercial-ShareAlike 3.0 United States

Özet

In 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.

Açıklama

Anahtar Kelimeler

Hardy Inequality, Variable Exponent, Weighted Inequality, Logarithmic Regularity Condition

Kaynak

WoS Q Değeri

Scopus Q Değeri

Cilt

7

Sayı

1

Künye

Harman, 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.2019.91015