Extrapolation on function and modular spaces, and applications
Classical Analysis and ODEs
2021-01-18 v1 Analysis of PDEs
Abstract
We generalize the extrapolation theory of Rubio de Francia to the context of Banach function spaces and modular spaces. Our results are formulated in terms of some natural weighted estimates for the Hardy-Littlewood maximal function and are stated in measure spaces and for general Muckenhoupt bases. Finally, we give several applications in analysis and partial differential equations.
Cite
@article{arxiv.2101.06253,
title = {Extrapolation on function and modular spaces, and applications},
author = {Mingming Cao and Juan José Marín and José María Martell},
journal= {arXiv preprint arXiv:2101.06253},
year = {2021}
}