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An extension of a boundedness result for singular integral operators

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Karlı D.

Colloquium Mathematicum

2016

tom 145

nr 1

15-33

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.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Karlı D.

1 2016

Wyniki wyszukiwania

An extension of a boundedness result for singular integral operators