Exact descriptions of some \(K\) and \(E\) functionals

DOI10.1006/JATH.1996.3066zbMath0885.46016OpenAlexW2132570275MaRDI QIDQ1362115

Stefan Ericsson

Publication date: 4 May 1998

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1996.3066

zbMATH Keywords

Peetre's \(K\)-functionalrearrangement functioninterpolation couple\(E\)- functionalsquasi-normed function lattice

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Interpolation between normed linear spaces (46B70) Ordered topological linear spaces, vector lattices (46A40) Abstract interpolation of topological vector spaces (46M35)

Related Items (5)

Real interpolation for divisible cones ⋮ Interpolation of generalized gamma spaces in a critical case ⋮ Optimal function spaces for the Laplace transform ⋮ Some examples of equivalent rearrangement‐invariant quasi‐norms defined via f∗$f^*$ or f∗∗$f^{**}$ ⋮ Optimality of function spaces for kernel integral operators

Cites Work

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• An explicit expression for the \(K_ r\) functionals of interpolation between \(L^ p\) spaces
• The E-functional for some pairs of groups
• On the K functional between \(L^ 1\) and \(L^ 2\) and some other K functionals
• Interpolation theorems for operators in function spaces
• Interpolation of normed Abelian groups
• Spaces \(\Lambda_\alpha\)(X) and interpolation
• Interpolation of Quasi-Normed Spaces.

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