Lions–Peetre reiteration formulas for triples and their applications

DOI10.4064/sm145-3-4zbMath0987.46024OpenAlexW1971473162MaRDI QIDQ2717575

Lars-Erik Persson, Natan Ya. Krugljak, Lech Maligranda, Irina Asekritova, Ljudmila I. Nikolova

Publication date: 17 June 2001

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

Full work available at URL: https://doi.org/10.4064/sm145-3-4

zbMATH Keywords

waveletsinterpolationstabilitytriplesBanach function latticesreiterationweighted \(L_p\)-spacesblock-Lorentz spaces

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) 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) Lattices of continuous, differentiable or analytic functions (46E05) Abstract interpolation of topological vector spaces (46M35)

Related Items (8)

Interpolation of Besov \(B^{\sigma q}_{p\tau}\) and Lizorkin-Triebel \(F^{\sigma q}_{p\tau}\) spaces ⋮ Capacitary function spaces ⋮ Interpolation theorems on weighted Lorentz martingale spaces ⋮ Interpolation for martingale Hardy spaces over weighted measure spaces ⋮ Real interpolation of vector-valued spaces in non-diagonal case ⋮ Entropy function spaces and interpolation ⋮ On interpolation of function spaces by methods defined by means of polygons ⋮ Interpolation of Besov spaces in the nondiagonal case

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