Real interpolation of compact bilinear operators

LM Fernández-Cabrera, A Martínez - Journal of Fourier Analysis and …, 2018 - Springer
… for bilinear operators of the compactness interpolation result for bounded linear
operators … of convolution operators and compactness of commutators of bilinear Calderón–Zygmund …

Interpolation of compact bilinear operators

M Mastyło, EB Silva - Bulletin of Mathematical Sciences, 2020 - World Scientific
… The study of abstract interpolation properties of this class of bilinear operators requires
some natural restrictions whenever we expect to prove an abstract general result. It should be …

On interpolation of bilinear operators

M Mastyło - Journal of Functional Analysis, 2004 - Elsevier
… to bilinear operators between products of Lp spaces, we obtain new bilinear interpolation
4, we present applications to the problem of interpolation of spaces of operators. We use the …

[PDF][PDF] Interpolation of compact bilinear operators

EB Silva - academia.edu
… The study of abstract interpolation properties of this class of bilinear operators requires
some natural restrictions whenever we expect to prove an abstract general result. It should be …

On complex interpolation of compact operators

M Cwikel, N Krugljak, M Mastylo - Illinois Journal of Mathematics, 1996 - projecteuclid.org
… Now suppose that we are given a bounded linear operator T" E --G and a compact subset K0
… have interpolation properties: Here is an obvious special case of an interpolation theorem …

Interpolation of closed ideals of bilinear operators

F Cobos, LM Fernández-Cabrera… - Acta Mathematica Sinica …, 2025 - Springer
… study the interpolation properties of the bilinear operators of I. If I satisfies the Σr-condition,
we establish a simple necessary and sufficient condition for an interpolated operator by the …

On interpolation properties of compact bilinear operators

LM Fernández‐Cabrera… - Mathematische …, 2017 - Wiley Online Library
bilinear interpolation theorem (see the article by Peetre [35, pages 175–177]). In fact, the
question of interpolation of bilinear operators … of interpolation of compact bilinear operators. The …

On compactness results of Lions–Peetre type for bilinear operators

F Cobos, LM Fernández-Cabrera, A Martínez - Nonlinear Analysis, 2020 - Elsevier
… If T : A j ∘ × B j ∘ ⟶ E compactly for j = 0 or 1, we show that T may be uniquely extended to
a compact bilinear operator from the complex interpolation spaces generated by A ̄ and B ̄ …

[HTML][HTML] Extrapolation of compactness on weighted spaces: Bilinear operators

T Hytönen, S Lappas - Indagationes Mathematicae, 2022 - Elsevier
… The reason is that our key Proposition 3.2 is about realizing the Z j spaces as interpolation
spaces between some X j and Y j spaces, and this would not be possible if Z j was allowed to …

Extrapolation for multilinear compact operators and applications

M Cao, A Olivo, K Yabuta - Transactions of the American Mathematical …, 2022 - ams.org
interpolation for multilinear compact operators. To prove the latter, we also need to build
a weighted interpolation … many multilinear operators, including multilinear ω-Calderón-Zygmund …