Convolution in rearrangement-invariant spaces defined in terms of oscillation and the maximal function

DOI10.4171/ZAA/1517zbMath1308.44003OpenAlexW2003345805MaRDI QIDQ471857

Martin Křepela

Publication date: 17 November 2014

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

Full work available at URL: https://doi.org/10.4171/zaa/1517

zbMATH Keywords

oscillationconvolutionYoung inequalityweighted Lorentz spaces

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) 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)

Related Items (3)

Some properties of convolution in symmetric spaces and approximate identity ⋮ Iterating Bilinear Hardy Inequalities ⋮ New Young inequalities and applications

Cites Work

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• Functional properties of rearrangement invariant spaces defined in terms of oscillations
• On embeddings between classical Lorentz spaces
• Are generalized Lorentz “spaces” really spaces?
• Convolution of L(p, q) Functions
• Characterisation of Embeddings in Lorentz Spaces

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