A sharp form of the Marcinkiewicz interpolation theorem for Orlicz spaces

DOI10.4064/sm180111-28-10zbMath1466.46019arXiv1711.09278OpenAlexW3024966966MaRDI QIDQ5139040

Ron Kerman, Rama Rawat, Rajesh Singh

Publication date: 4 December 2020

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.09278

zbMATH Keywords

Orlicz spacesLorentz spacesweighted Hardy inequalities

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) Abstract interpolation of topological vector spaces (46M35)

Cites Work

• On a theorem of Marcinkiewicz concerning interpolation of operations
• An optimal interpolation theorem of Marcinkiewicz type in Orlicz spaces
• Marcinkiewicz interpolation theorems for Orlicz and Lorentz gamma spaces
• Boundedness of classical operators on classical Lorentz spaces
• Interpolation of operations and Orlicz classes
• Hardy inequalities in Orlicz spaces
• Dilation-commuting operators on power-weighted Orlicz classes
• An extension of the Marcinkiewicz interpolation theorem to Lorentz spaces
• Weak*-sequential closure and the characteristic of subspaces of conjugate Banach spaces
• Indices of Function Spaces and their Relationship to Interpolation
• TWO-WEIGHTED ESTIMATES OF RIEMANN-LIOUVILLE INTEGRALS
• Orlicz-Sobolev boundary trace embeddings
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