Weighted estimates for parametrized Littlewood-Paley operators

Abstract

In this paper, we obtain some boundedness on the weighted Lebesgue spaces and the weighted Hardy spaces for the parametrized Littlewood-Paley operators with the kernel Ω satisfying the logarithmic type Lipschitz conditions.

Keywords

Parametrized area integral / parametrized Littlewood-Paley g_{\lambda }^{*} function

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2014 Higher Education Press and Springer-Verlag Berlin Heidelberg