Per G. Nilsson

activity

20172026

most citedA description of interpolation spaces for quasi-Banach couples by real

K

-method

4 citations · 14 across the 9 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.FA2021★ 4 cited

A description of interpolation spaces for quasi-Banach couples by real $K$ -method

Sergey V. Astashkin, Per G. Nilsson

The main aim of this paper is to develop a general approach, which allows to extend the basics of Brudnyi-Kruglyak interpolation theory to the realm of quasi-Banach lattices. We pr…

math.FA2021★ 4 cited

Arazy-Cwikel property for quasi-Banach couples

Sergey V. Astashkin, Per G. Nilsson

The main result of this paper establishes that the known Arazy-Cwikel property holds for classes of uniformly K-monotone spaces in the quasi-Banach setting provided that the initia…

math.FA2021★ 4 cited

Arazy-Cwikel and Calderón-Mityagin type properties of the couples $(ℓ^{p}, ℓ^{q})$ , $0 \leq p < q \leq \infty$

Sergey V. Astashkin, Michael Cwikel, Per G. Nilsson

We establish Arazy-Cwikel type properties for the family of couples $(ℓ^{p}, ℓ^{q})$ , $0 \leq p < q \leq \infty$ , and show that $(ℓ^{p}, ℓ^{q})$ is a Calderón-Mityagin couple i…

A description of interpolation spaces for quasi-Banach couples by real K-method

Arazy-Cwikel property for quasi-Banach couples

Arazy-Cwikel and Calderón-Mityagin type properties of the couples (ℓp,ℓq), 0≤p<q≤∞

A description of interpolation spaces for quasi-Banach couples by real $K$ -method

Arazy-Cwikel and Calderón-Mityagin type properties of the couples $(ℓ^{p}, ℓ^{q})$ , $0 \leq p < q \leq \infty$