Absolutely summing Carleson embeddings on Hardy spaces
Functional Analysis
2017-01-23 v2
Abstract
We consider the Carleson embeddings of the classical Hardy spaces (on the disk) into a L p () space, where is a Carleson measure on the unit disk. This includes the case of composition operators. We characterize such operators which are r-summing on H p , where p \textgreater{} 1 and r 1. This completely extends the former results on the subject and solves a problem open since the early seventies. Mathematics Subject Classification. Primary: 47B33 -- Secondary: 28A12; 30C85; 31A15; 46E20; 46E22; 47B06
Keywords
Cite
@article{arxiv.1610.02246,
title = {Absolutely summing Carleson embeddings on Hardy spaces},
author = {Pascal Lefèvre and Luis Rodríguez-Piazza},
journal= {arXiv preprint arXiv:1610.02246},
year = {2017}
}