Extrapolation of compactness on weighted mixed Lebesgue spaces
Functional Analysis
2025-04-03 v2 Analysis of PDEs
Abstract
A version of the Fr\'echet-Kolmogorov theorem for the compactness of operators in weighted mixed Lebesgue spaces is proved and a corresponding compact extrapolation theory a la Rubio de Francia is developed. Several applications are presented too.
Keywords
Cite
@article{arxiv.2503.12486,
title = {Extrapolation of compactness on weighted mixed Lebesgue spaces},
author = {María J. Carro and Carlos Pérez and Rodolfo H. Torres},
journal= {arXiv preprint arXiv:2503.12486},
year = {2025}
}
Comments
Incorporation of new references commented on in the work, elimination of the proof of Theorem 3.2 in addition to mentioning acknowledgments