Monotonicity properties of interpolation spaces. II

DOI10.1007/BF02384473zbMath0467.46061OpenAlexW4248459676MaRDI QIDQ1155836

Michael Cwikel

Publication date: 1981

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02384473

zbMATH Keywords

Sobolev spaceLorentz spaceBanach interpolation coupleCalderon pairs

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Abstract interpolation of topological vector spaces (46M35)

Related Items (20)

Interpolation of Caldéron and Ovčinnikov pairs ⋮ Interpolation of abstract Cesàro, Copson and Tandori spaces ⋮ Some results related to interpolation on Hardy spaces of regular martingales ⋮ Arazy-Cwikel property for quasi-Banach couples ⋮ Interpolation of linear operators ⋮ Calderón constants of finite-dimensional couples ⋮ A description of interpolation spaces for quasi-Banach couples by real \(K\)-method ⋮ Arazy-Cwikel and Calderón-Mityagin type properties of the couples \((\ell^p, \ell^q)\), \(0 \leq p<q \leq \infty\) ⋮ Interpolation spaces between the Lipschitz class and the space of continuous functions ⋮ Weak type interpolation near ``endpoint spaces ⋮ Rademacher functions in symmetric spaces ⋮ On stability of \(\mathcal{K}\)-monotonicity of Banach couples ⋮ Interpolation between some symmetric spaces ⋮ Majorization, interpolation and noncommutative Khinchin inequalities ⋮ Characterization of symmetrically \(\Delta\)-normed operator ideals which are interpolation spaces between Schatten-von Neumann ideals ⋮ Noncommutative Khintchine inequalities in interpolation spaces of \(L_p\)-spaces ⋮ The Domain Spaces of Quasilogarithmic Operators ⋮ Complex interpolation and Calderón-Mityagin couples of Morrey spaces ⋮ Symmetric kernel of Rademacher multiplicator spaces ⋮ K-divisibility of the K-functional and Calderón couples

Cites Work

• Abstract K and J spaces
• Monotonicity properties of interpolation spaces
• On L(p,q) spaces
• Interpolation of normed Abelian groups
• Interpolation of weighted $L_{p}$-spaces
• Weak*-sequential closure and the characteristic of subspaces of conjugate Banach spaces
• Interpolation of Quasi-Normed Spaces.
• Interpolation Theorems for the Pairs of Spaces (L p , L ∞ ) and (L 1 L q )
• Interpolation of r-Banach spaces
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