Arazy–Cwikel and Calderón–Mityagin type properties of the couples (ℓp,ℓq), 0≤p
Autor:
Astashkin, Sergey V., Cwikel, Michael, Nilsson, Per G.
Zdroj:
Annali di Matematica Pura ed Applicata; Aug2023, Vol. 202 Issue 4, p1643-1678, 36p
Abstrakt:
We establish Arazy–Cwikel type properties for the family of couples (ℓ p , ℓ q) , 0 ≤ p < q ≤ ∞ , and show that (ℓ p , ℓ q) is a Calderón–Mityagin couple if and only if q ≥ 1 . Moreover, we identify interpolation orbits of elements with respect to this couple for all p and q such that 0 ≤ p < q ≤ ∞ and obtain a simple positive solution of a Levitina–Sukochev–Zanin problem, clarifying its connections with whether (ℓ p , ℓ q) has the Calderón–Mityagin property or not. [ABSTRACT FROM AUTHOR]
Databáze:
Complementary Index
Externí odkaz:
| Autor: | Astashkin, Sergey V., Cwikel, Michael, Nilsson, Per G. |
|---|---|
| Zdroj: | Annali di Matematica Pura ed Applicata; Aug2023, Vol. 202 Issue 4, p1643-1678, 36p |
| Abstrakt: | We establish Arazy–Cwikel type properties for the family of couples (ℓ p , ℓ q) , 0 ≤ p < q ≤ ∞ , and show that (ℓ p , ℓ q) is a Calderón–Mityagin couple if and only if q ≥ 1 . Moreover, we identify interpolation orbits of elements with respect to this couple for all p and q such that 0 ≤ p < q ≤ ∞ and obtain a simple positive solution of a Levitina–Sukochev–Zanin problem, clarifying its connections with whether (ℓ p , ℓ q) has the Calderón–Mityagin property or not. [ABSTRACT FROM AUTHOR] |
| Databáze: | Complementary Index |
| Externí odkaz: |
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