Ultrasymmetric Orlicz spaces

DOI10.1016/j.jmaa.2008.05.065zbMath1170.46029OpenAlexW1967973948MaRDI QIDQ937282

Lech Maligranda, Serguei V. Astashkin

Publication date: 14 August 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-2747

zbMATH Keywords

Orlicz spacesinterpolation spacesMarcinkiewicz spacesLorentz spacesLorentz-Orlicz spacesultrasymmetric rearrangement spaces

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) Banach lattices (46B42) Interpolation between normed linear spaces (46B70)

Related Items

General reiteration theorems for \(\mathcal{R}\) and \(\mathcal{L}\) classes: mixed interpolation of \(\mathcal{R}\) and \(\mathcal{L}\)-spaces ⋮ Disjointly homogeneous rearrangement invariant spaces via interpolation ⋮ A LIMITING CASE OF ULTRASYMMETRIC SPACES ⋮ Pointwise multipliers of Calderón-Lozanovskiǐ spaces

Cites Work

• Sobolev type inequalities in ultrasymmetric spaces with applications to Orlicz-Sobolev embeddings
• Ultrasymmetric sequence spaces in approximation theory
• One property of functors of the real interpolation method
• On cones of step functions in rearrangement invariant spaces
• Indices for the Orlicz spaces
• Spaces \(\Lambda_\alpha\)(X) and interpolation
• On Orlicz sequence spaces. III
• On the theory of spaces \(\Lambda\)
• Boundedness of classical operators on classical Lorentz spaces
• Interpolation of operations and Orlicz classes
• Comparison of Orlicz-Lorentz spaces
• Calderón couples of rearrangement invariant spaces
• ULTRASYMMETRIC SPACES
• Order convexity and concavity of Lorentz spaces Λ_p,w, 0<p<∞
• Relations Between Function Spaces
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