Boundedness of operators of Hardy type in ΛP,q spaces and weighted mixed inequalities for singular integral operators

DOI10.1017/S0308210500023556zbMath0870.46022MaRDI QIDQ3123154

Pedro Ortega Salvador, M. D. Sarrión Gavilán, Francisco Javier Martín-Reyes

Publication date: 11 September 1997

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

boundednessCalderón-Zygmund singular integralsclassical Lorentz spacesmixed weak-type inequalitiesoperators of Hardy typeweighted \(L_{p,q}\) spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral operators (47G10)

Related Items (15)

Weighted weak type inequalities for modified Hardy operators and geometric means operators in dimensions one and greater ⋮ Sawyer-type inequalities for Lorentz spaces ⋮ Weighted weak type inequalities with variable exponents for Hardy and maximal operators ⋮ Weighted weak-type iterated and bilinear Hardy inequalities ⋮ Mixed weak type inequalities for the fractional maximal operator ⋮ Proof of an extension of E. Sawyer's conjecture about weighted mixed weak-type estimates ⋮ Weighted inequalities for the multilinear Hilbert and Calderón operators and applications ⋮ Some new weighted weak-type iterated and bilinear modified Hardy inequalities ⋮ Weighted bilinear Hardy inequalities ⋮ Boundedness and compactness of Hardy operators on Lorentz-type spaces ⋮ Hardy-type operators in Lorentz-type spaces defined on measure spaces ⋮ Weighted norm inequalities for the generalized multilinear Stieltjes transformation ⋮ On weighted weak type inequalities for modified Hardy operators ⋮ Boundedness and compactness of Hardy-type integral operators on Lorentz-type spaces ⋮ Some mixed weak type inequalities

Cites Work

• Weighted Lorentz spaces and the Hardy operator
• Hardy Inequalities with Mixed Norms
• Osservazioni sopra una classe di disuguaglianze

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