New limiting real interpolation methods and their connection with the methods associated to the unit square

DOI10.1002/mana.201100076zbMath1273.46010OpenAlexW1971654164MaRDI QIDQ4921744

Luz M. Fernández-Cabrera, Fernando Cobos, Pilar Silvestre

Publication date: 13 May 2013

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

Full work available at URL: https://doi.org/10.1002/mana.201100076

zbMATH Keywords

\(K\)-functionalreal interpolationlimiting spacesinterpolation over the unit square

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) Interpolation between normed linear spaces (46B70)

Related Items (8)

Reiteration theorems for two-parameter limiting real interpolation methods ⋮ New limiting variants of the classical reiteration theorem for the \(K\)-interpolation method ⋮ On the general \(K\)-interpolation method for the sum and the intersection ⋮ General Holmstedt's formulae for the \(K\)-functional ⋮ Limiting \(J\)-spaces for general couples ⋮ Limiting interpolation spaces via extrapolation ⋮ On a paper of Edmunds and Opic on limiting interpolation of compact operators between spaces ⋮ Some reiteration formulae for limiting real methods

Cites Work

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