M. Cwikel

activity

19922021

most citedLecture notes on duality and interpolation spaces

11 citations · 48 across the 23 of their papers we have counts for

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20 papers · 1 filter

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…

math.FA2018

Interpolation of weighted Sobolev spaces

Michael Cwikel, Amit Einav

In this work we present a newly developed study of the interpolation of weighted Sobolev spaces by the complex method. We show that in some cases, one can obtain an analogue of the…

math.FA2017

An alternative characterization of normed interpolation spaces between $ℓ^{1}$ and $ℓ^{q}$

Michael Cwikel, Per G. Nilsson

Given a constant $q \in (1, \infty)$ , we study the following property of a normed sequence space $E$ : ===================== If ${x_{n}}_{n \in N}$ is an element o…

math.FA2017★ 1 cited

Unions of cubes in $R^{n}$ , combinatorics in $Z^{n}$ and the John-Nirenberg and John-Strömberg inequalities

Michael Cwikel

Suppose that the $d$ -dimensional unit cube $Q$ is the union of three disjoint "simple" sets $E$ , $F$ and $G$ and that the volumes of $E$ and $F$ are both greater than half the volu…

math.FA2015

Some alternative definitions for the "plus-minus" interpolation spaces $⟨ A_{0}, A_{1} ⟩_{θ}$ of Jaak Peetre

Michael Cwikel

The Peetre "plus-minus" interpolation spaces $⟨ A_{0}, A_{1} ⟩_{θ}$ are defined variously via conditions about the unconditional convergence of certain Banach s…

math.FA2014★ 1 cited

Lecture notes on complex interpolation of compactness

Michael Cwikel, Richard Rochberg

Suppose that the linear operator $T$ maps $X_{0}$ compactly to $Y_{0}$ and also maps $X_{1}$ boundedly to $Y_{1}$ . We deal once again with the 51 year old question of whether $T$ also alwa…

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

Interpolation of weighted Sobolev spaces

An alternative characterization of normed interpolation spaces between ℓ1 and ℓq

Unions of cubes in Rn, combinatorics in Zn and the John-Nirenberg and John-Strömberg inequalities

Some alternative definitions for the "plus-minus" interpolation spaces ⟨A0​,A1​⟩θ​ of Jaak Peetre

Lecture notes on complex interpolation of compactness

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

An alternative characterization of normed interpolation spaces between $ℓ^{1}$ and $ℓ^{q}$

Unions of cubes in $R^{n}$ , combinatorics in $Z^{n}$ and the John-Nirenberg and John-Strömberg inequalities

Some alternative definitions for the "plus-minus" interpolation spaces $⟨ A_{0}, A_{1} ⟩_{θ}$ of Jaak Peetre