On the Logarithmic Regularity Conditions for the Variable Exponent Hardy Type Inequality

On the Logarithmic Regularity Conditions for the Variable Exponent Hardy Type Inequality

We discuss a logarithmic regularity condition in a neighborhood of the origin and infinity on the exponent functions qx≥px and βx for the variable exponent Hardy inequality xβ·-1∫0xftdtLp·0,l≤Cxβ·fLp·0,l to hold.

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Veröffentlicht in:International journal of analysis 2014-01, Vol.2014 (2014), p.1-5
Hauptverfasser: Harman, Aziz, Keleş, Mustafa Özgür
Format: Artikel
Sprache:eng
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Zusammenfassung:We discuss a logarithmic regularity condition in a neighborhood of the origin and infinity on the exponent functions qx≥px and βx for the variable exponent Hardy inequality xβ·-1∫0xftdtLp·0,l≤Cxβ·fLp·0,l to hold.
ISSN:2314-498X
2314-4998
DOI:10.1155/2014/606012