Open AccessPlongements de Carleson absolument sommants
Author(s) -
Pascal Lefèvre,
Luis Rodrı́guez-Piazza
Publication year - 2016
Publication title -
comptes rendus mathématique
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.803
H-Index - 68
eISSN - 1778-3569
pISSN - 1631-073X
DOI - 10.1016/j.crma.2016.10.010
Subject(s) - mathematics , composition (language) , humanities , pure mathematics , combinatorics , philosophy , linguistics
We study the Carleson embeddings on the Hardy spaces Hp with p>1. We characterize their membership in the class of r-summing operators for any r≥1. This generalizes in a strong way former results and solves a problem open since the 1970s. This characterization is different in nature according to the value of the couple (p,r). As particular cases, this settles the case of composition and weighted composition operators
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