Abstract
The Marcinkiewicz integral is essentially a Littlewood-Paley g-function, which plays a very important role in harmonic analysis. In this paper we give weaker smoothness conditions assumed on Ω to imply the Hw p - Lwp boundedness of the Marcinkiewicz integral operator μΩ, where w belongs to the Muckenhoupt weight class.
Original language | English |
---|---|
Pages (from-to) | 87-98 |
Number of pages | 12 |
Journal | Integral Equations and Operator Theory |
Volume | 58 |
Issue number | 1 |
DOIs | |
State | Published - May 2007 |
Keywords
- A weights
- Dini-type condition
- Marcinkiewicz integral
- Weighted Hardy spaces