Variational Carleson operators in UMD spaces
Classical Analysis and ODEs
2020-03-18 v2 Functional Analysis
Abstract
We prove -boundedness of variational Carleson operators for functions valued in intermediate UMD spaces. This provides quantitative information on the rate of convergence of partial Fourier integrals of vector-valued functions. Our proof relies on bounds on wave packet embeddings into outer Lebesgue spaces on the time-frequency-scale space , which are the focus of this paper.
Cite
@article{arxiv.2003.02742,
title = {Variational Carleson operators in UMD spaces},
author = {Alex Amenta and Gennady Uraltsev},
journal= {arXiv preprint arXiv:2003.02742},
year = {2020}
}
Comments
Updated introduction, fixed some minor typos and errors throughout, corrected misstatements in the Banach function space section