Abstract
In this paper, we study the structure of the Hardy space H p b associated with a para-accretive function b, which was introduced in Han et al. (J. Geom. Anal. 14:291-318, 2004). The main result is to establish a new atomic decomposition of H p b. As applications, we obtain criterions for the boundedness of operators on H p b and a characterization of the dual space of H p b. The classification of H p b and Calderón-Zygmund decomposition are also discussed.
Original language | English |
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Pages (from-to) | 67-90 |
Number of pages | 24 |
Journal | Integral Equations and Operator Theory |
Volume | 72 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2012 |
Keywords
- Approximation to the identity
- atomic decomposition
- BMO
- Calderón reproducing formula
- extension of operators
- Hardy space
- para-accretive function