Basic functional properties of certain scale of rearrangement‐invariant spaces

DOI10.1002/mana.202000463arXiv2009.05351OpenAlexW4287669156MaRDI QIDQ6074632

Hana Turčinová

Publication date: 12 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.05351

zbMATH Keywords

embeddingsrearrangement-invariant spacesLorentz-Zygmund spacesmaximal nonincreasing rearrangement

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) Linear operators on function spaces (general) (47B38) Inequalities for sums, series and integrals (26D15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The art of rearranging
• Continuity properties of solutions to the \(p\)-Laplace system
• Strong capacity-estimates for fractional norms
• On certain integral inequalities for functions of many variables
• Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms
• Higher-order Sobolev embeddings and isoperimetric inequalities
• Sobolev embeddings, rearrangement-invariant spaces and Frostman measures
• Sobolev embeddings in Orlicz and Lorentz spaces with measures
• On embeddings between classical Lorentz spaces
• Optimal Sobolev trace embeddings
• Normability of Lorentz spaces—an alternative approach
• Boundedness of classical operators on classical Lorentz spaces
• A note on limiting cases of sobolev embeddings and convolution inequalities
• On generalized Lorentz-Zygmund spaces
• Weighted Inequalities Involving ρ-quasiconcave Operators
• Are generalized Lorentz “spaces” really spaces?
• Weak-type weights and normable Lorentz spaces
• Compactness of Sobolev-type embeddings with measures
• Interpolation theorem for Marcinkiewicz spaces with applications to Lorentz gamma spaces
• A trace inequality for generalized potentials
• Function Spaces