This paper is essentially the second author's lecture at the CIMPA School. It summarises large parts of the three authors'paper "On the H^1-L^1-boundedness of operators". Only one proof is given. In the setting of a Euclidean space, we consider operators defined and uniformly bounded on atoms of a Hardy space H^p. The question discussed is whether such an operator must be bounded on H^p. This leads to a study of the difference between countable and finite atomic decompositions in Hardy spaces.
Meda, S., Sjogren, P., & Vallarino, M. (2009). Atomic decompositions and operators on Hardy spaces. REVISTA DE LA UNION MATEMATICA ARGENTINA, 50(2), 15-22.
Citazione: | Meda, S., Sjogren, P., & Vallarino, M. (2009). Atomic decompositions and operators on Hardy spaces. REVISTA DE LA UNION MATEMATICA ARGENTINA, 50(2), 15-22. |
Tipo: | Articolo in rivista - Articolo scientifico |
Carattere della pubblicazione: | Scientifica |
Titolo: | Atomic decompositions and operators on Hardy spaces |
Autori: | Meda, S; Sjogren, P; Vallarino, M |
Autori: | |
Data di pubblicazione: | 2009 |
Lingua: | English |
Rivista: | REVISTA DE LA UNION MATEMATICA ARGENTINA |
Appare nelle tipologie: | 01 - Articolo su rivista |
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Atomic_decompositions_and_operators_on_Hardy_spaces.pdf | Publisher's version | Open Access Visualizza/Apri |