We show ℓp(ℤd )-boundedness, for p ∈(1,∞) of discrete singular integrals of Radon type with the aid of appropriate square function estimates, which can be thought of as a discrete counterpart of Littlewood- Paley theory. It is a very robust approach which allows us to proceed as in the continuous case.
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- Numerical Analysis
- Discrete harmonic analysis
- Exponential sums
- Hardy-Littlewood circle method
- Radon operators