A new class of restricted type spaces

DOI10.1017/S0013091509001710zbMath1250.46020OpenAlexW2094363715MaRDI QIDQ3094675

Javier Soria, Salvador Rodríguez-López

Publication date: 25 October 2011

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091509001710

zbMATH Keywords

rearrangement-invariant spacesLorentz spacesrestricted type

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) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• Weighted Lorentz spaces and the Hardy operator
• Some new functional spaces
• Maximal Functions on Classical Lorentz Spaces and Hardy's Inequality with Weights for Nonincreasing Functions
• Sharp estimates for the identity minus Hardy operator on the cone of decreasing functions
• Optimal bounds of restricted type for the Hardy operator minus the identity on the cone of radially decreasing functions
• The Weighted Hardy's Inequality for Nonincreasing Functions
• Boundedness of Some Integral Operators

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