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.

Atomic decompositions and operators on Hardy spaces

MEDA, STEFANO;VALLARINO, MARIA
2009

Abstract

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.
Articolo in rivista - Articolo scientifico
Spazi di Hardy, decomposizione atomica
English
Meda, S., Sjogren, P., & Vallarino, M. (2009). Atomic decompositions and operators on Hardy spaces. REVISTA DE LA UNION MATEMATICA ARGENTINA, 50(2), 15-22.
Meda, S; Sjogren, P; Vallarino, M
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/8549
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