Publications de l’Institut Mathématique, Nouvelle Série, Vol. 100[114], No. 1/1, pp. 183

Publications de l’Institut Mathématique, Nouvelle Série
Vol. 100[114], No. 1/1, pp. 183–208 (2016)

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WEIGHTED BOUNDEDNESS FOR COMMUTATORS OF PARAMETERIZED LITTLEWOOD–PALEY OPERATORS AND AREA INTEGRALS

Yan Lin, Xiao Xuan

School of Sciences, China University of Mining and Technology, Beijing, China

Abstract: We establish the boundedness for commutators of parameterized Littlewood–Paley operators and area integrals on weighted Lebesgue spaces $L^{p} (ω)$ when $1 < p < \infty$ , where the kernel satisfies certain logarithmic type Lipschitz condition. Moreover, the weighted endpoint estimates when $p = 1$ are also obtained.

Keywords: parameterized Littlewood-Paley operator, parameterized area integral, commutator, BMO

Classification (MSC2000): 42B20; 42B25

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Electronic fulltext finalized on: 8 Nov 2016. This page was last modified: 14 Nov 2016.

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