The log-conditions for the variable exponent Hardy inequality
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Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Hikari
Erişim Hakkı
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-ShareAlike 3.0 United States
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