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

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Tarih

2014

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Hindawi Ltd

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

We discuss a logarithmic regularity condition in a neighborhood of the origin and infinity on the exponent functions q (x) >= p (x) and beta (x) for the variable exponent Hardy inequality parallel to x(beta(.)-1) integral(x)(0) f (t) dt parallel to(Lp(.)(0,l)) <= C parallel to x(beta(.)) f parallel to(Lp(.)(0,l)) to hold.

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International Journal of Analysis

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N/A

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