Interpolation orbits in couples of Lebesgue spaces

DOI10.1007/S10688-005-0016-6zbMath1104.46045arXivmath/0212229OpenAlexW1993804115MaRDI QIDQ2571492

Vladimir I. Ovchinnikov

Publication date: 11 November 2005

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0212229

zbMATH Keywords

interpolation spacespace of measurable functionsweighted \(L_p\)-spacesinterpolation orbit

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 (4)

On one transformation of parameter-spaces of real interpolation method ⋮ Arazy-Cwikel and Calderón-Mityagin type properties of the couples \((\ell^p, \ell^q)\), \(0 \leq p<q \leq \infty\) ⋮ On the \(K \)-functionals of absolutely Calderón elements of the Banach pair \((l_1,c_0) \) ⋮ The quasinormed Neumann–Schatten ideals and embedding theorems for the generalized Lions–Peetre spaces of means

Cites Work

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• Minimal and maximal methods of interpolation
• Interpolation orbits in couples of \(L_p\) spaces
• Calderón couples of Lipschitz spaces
• On a class of interpolation spaces
• Inclusion mappings between \(l^p\) spaces
• Interpolation of weighted $L_{p}$-spaces

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