Compact bilinear operators and commutators

Á Bényi, R Torres - Proceedings of the American Mathematical Society, 2013 - ams.org
A notion of compactness in the bilinear setting is explored. Moreover, commutators of
bilinear Calderón-Zygmund operators and multiplication by functions in a certain subspace …

Interpolation of closed ideals of bilinear operators

F Cobos, LM Fernández-Cabrera… - Acta Mathematica Sinica …, 2025 - Springer
We extend the (outer) measure γ I associated to an operator ideal I to a measure γ J for
bounded bilinear operators. If I is surjective and closed, and J is the class of those bilinear …

On compactness results of Lions–Peetre type for bilinear operators

F Cobos, LM Fernández-Cabrera, A Martínez - Nonlinear Analysis, 2020 - Elsevier
Abstract Let A ̄=(A 0, A 1), B ̄=(B 0, B 1) be Banach couples, let E be a Banach space and
let T be a bilinear operator such that‖ T (a, b)‖ E≤ M j‖ a‖ A j‖ b‖ B j for a∈ A 0∩ A 1 …

Evaluation of three gridded precipitation products to quantify water inputs over complex mountainous terrain of western China

L Zhang, P Lan, G Qin, CR Mello, EW Boyer, P Luo… - Remote Sensing, 2021 - mdpi.com
This study evaluates the capacity of three gridded precipitation products (MSWEP V2. 2,
TRMM-3B42 V7, and GPM-IMERG V6) to detect precipitation in the Min Jiang watershed, a …

Real interpolation of compact bilinear operators

LM Fernández-Cabrera, A Martínez - Journal of Fourier Analysis and …, 2018 - Springer
We establish an analog for bilinear operators of the compactness interpolation result for
bounded linear operators proved by Cwikel and Cobos, Kühn and Schonbek. We work with …

Interpolation of compact bilinear operators among quasi‐Banach spaces and applications

F Cobos, LM Fernández‐Cabrera… - Mathematische …, 2018 - Wiley Online Library
Interpolation of compact bilinear operators among quasi‐Banach spaces and applications -
Cobos - 2018 - Mathematische Nachrichten - Wiley Online Library Skip to Article Content Skip …

On interpolation properties of compact bilinear operators

LM Fernández‐Cabrera… - Mathematische …, 2017 - Wiley Online Library
We investigate interpolation properties of compact bilinear operators under the general real
method. Results apply in particular to the real method with a function parameter and also to …

[HTML][HTML] Interpolation of the measure of non-compactness of bilinear operators among quasi-Banach spaces

BF Besoy, F Cobos - Journal of Approximation Theory, 2019 - Elsevier
Interpolation of the measure of non-compactness of bilinear operators among quasi-Banach
spaces - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …

Interpolation of compact bilinear operators

M Mastyło, EB Silva - Bulletin of Mathematical Sciences, 2020 - World Scientific
This paper is devoted to the study of the stability of the compactness property of bilinear
operators acting on the products of interpolated Banach spaces. We prove one-sided …

On weakly compact multilinear operators and interpolation

A Manzano, M Mastyło - Advances in Operator Theory, 2025 - Springer
We study weakly compact multilinear operators. We prove a variant of Gantmacher's weak
compactness theorem for multilinear operators. We also present Lions–Peetre type results …