Arazy-Cwikel and Calderón-Mityagin type properties of the couples \((\ell^p, \ell^q)\), \(0 \leq p
DOI10.1007/s10231-022-01296-6zbMath1526.46013OpenAlexW4313400511MaRDI QIDQ6156098
Michael Cwikel, Per Nilsson, Serguei V. Astashkin
Publication date: 12 June 2023
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-022-01296-6
orbitquasi-Banach spaceinterpolation space\(\ell^p\)-spacesCalderón-Mityagin property\(\mathcal{K}\)-functionalquasi-norm group
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sequence spaces (including Köthe sequence spaces) (46A45) Interpolation between normed linear spaces (46B70) Abstract interpolation of topological vector spaces (46M35)
Cites Work
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- Abstract K and J spaces
- Monotonicity properties of interpolation spaces. II
- On interpolation between \(L_ 1+L_ \infty\) and \(L_ 1\cap{}L_ \infty\)
- The dual of weak \(L^p\)
- Monotonicity properties of interpolation spaces
- Interpolation theorems resulting from an inequality of Grothendieck
- Interpolation spaces between \((L_1^{\omega_0},L_1^{\omega_0})\) and \((L_1,L_\infty)\)
- Interpolation of operators in quasinormed groups of measurable functions
- A version of Calderón-Mityagin theorem for the class of rearrangement invariant groups
- Interpolation properties of scales of Banach spaces
- Interpolation d'espaces vectoriels qui ne sont ni normés, ni complets. Applications
- Interpolation of normed Abelian groups
- Interpolation orbits in couples of Lebesgue spaces
- A description of interpolation spaces for quasi-Banach couples by real \(K\)-method
- The Rademacher System in Function Spaces
- An Interpolation Theorem in Symmetric Function F-Spaces
- Modern Fourier Analysis
- A new characterization of the interpolation spaces between $L^p$ and $L^q$
- ON ESTIMATES OF INTERPOLATION ORBITS
- SUBLINEAR OPERATORS AND THEIR APPLICATIONS
- Interpolation of weighted $L_{p}$-spaces
- Calderón couples of rearrangement invariant spaces
- Interpolation of weighted Banach lattices. A characterization of relatively decomposable Banach lattices
- Analysis in Banach Spaces
- Remark on the Dual of an Interpolation Space.
- Majorization, interpolation and noncommutative Khinchin inequalities
- Cwikel estimates revisited
- 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 )
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