The computation of the K functional for couples of rearrangement invariant spaces

DOI10.1007/BF03323313zbMath0501.46067OpenAlexW1978230316MaRDI QIDQ1172258

Mario Milman

Publication date: 1982

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03323313

zbMATH Keywords

Orlicz spacesrearrangement invariant spacesreiteration theoremsLp spacesexplicit computation of the K functionalsL(p,q) spacesreal interpolation spaces of Lions-Peetre

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)

Related Items (5)

Interpolation of linear operators ⋮ The quasinormed Neumann–Schatten ideals and embedding theorems for the generalized Lions–Peetre spaces of means ⋮ Mixed norm spaces and rearrangement invariant estimates ⋮ \(S\)-divisibility property and a Holmstedt type formula ⋮ Integral isoperimetric transference and dimensionless Sobolev inequalities

Cites Work

• Monotonicity properties of interpolation spaces
• The K-functional for rearrangement invariant spaces
• Interpolation of Quasi-Normed Spaces.
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