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• # Artykuł - szczegóły

## Colloquium Mathematicum

2016 | 145 | 1 | 15-33

## An extension of a boundedness result for singular integral operators

EN

### Abstrakty

EN
We study some operators originating from classical Littlewood-Paley theory. We consider their modification with respect to our discontinuous setup, where the underlying process is the product of a one-dimensional Brownian motion and a d-dimensional symmetric stable process. Two operators in focus are the G* and area functionals. Using the results obtained in our previous paper, we show that these operators are bounded on $L^{p}$. Moreover, we generalize a classical multiplier theorem by weakening its conditions on the tail of the kernel of singular integrals.

15-33

wydano
2016

### Twórcy

autor
• Department of Mathematics, Işık University, AMF233, 34980 Şile, Istanbul, Turkey