Marcinkiewicz Type Theorems for Interpolation of Operators Acting on M{\"u}ntz Spaces
Functional Analysis
2024-12-31 v1
Abstract
We prove interpolation results in the spirit of the Marcinkiewicz theorem. The operators considered in this article are defined on M\"untz spaces, which are not dense subspaces of , and for which the classical interpolation theory cannot be applied directly. Our proofs crucially rely on strong decoupling of norms, a that was first observed by Gurariy-Macaev and later generalized.
Cite
@article{arxiv.2412.20773,
title = {Marcinkiewicz Type Theorems for Interpolation of Operators Acting on M{\"u}ntz Spaces},
author = {Mickaël Latocca and Vincent Munnier},
journal= {arXiv preprint arXiv:2412.20773},
year = {2024}
}