On equivalent conditions for the general weighted Hardy type inequality in space \(L^{p(\cdot)}\)

DOI10.4171/ZAA/1448zbMath1235.42009OpenAlexW2045960895MaRDI QIDQ656124

Yusuf Zeren, Farman I. Mamedov

Publication date: 26 January 2012

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1448

zbMATH Keywords

Hardy operatorHardy inequalityvariable exponentsweighted inequality

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Linear operators on function spaces (general) (47B38)

Related Items (7)

On a general weighted Hardy type inequality in the variable exponent Lebesgue spaces ⋮ On compact and bounded embedding in variable exponent Sobolev spaces and its applications ⋮ A necessary and sufficient condition for Hardy's operator in the variable Lebesgue space ⋮ Compactness for the weighted Hardy operator in variable exponent spaces ⋮ A necessary and sufficient condition for Hardy's operator in ⋮ Two-weighted Hardy operators in $L^{p(\cdot )}$ spaces and applications ⋮ The Calderón operator and the Stieltjes transform on variable Lebesgue spaces with weights

Cites Work

• Weighted weak type inequalities with variable exponents for Hardy and maximal operators
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