Atomic decompositions and operators on Hardy spaces
Artikel i vetenskaplig tidskrift, 2009

This paper is essentially the second author's lecture at a CIMPA-UNESCO School. It summarises large parts of the three authors' paper "On the H1 - L1 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 Hp. The question discussed is whether such an operator must be bounded on Hp. This leads to a study of the difference between countable and finite atomic decompositions in Hardy spaces.

Hardy spaces

atomic decompositions


Stefano Meda

Peter Sjögren

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Maria Vallarino

Revista de la Union Matematica Argentina

0041-6932 (ISSN)

Vol. 50 15-22


Matematisk analys