Abstract
In this paper, we establish sharp maximal function estimates for parameterized Littlewood-Paley operators and area integrals with kernel satisfying the logarithmic type Lipschitz condition. As applications, the weighted $L^p$ bounds and Morrey boundedness of these operators can be obtained.
Citation
Y. Lin. C.H. Song. X. Xuan. "Sharp Maximal Function Estimates for Parameterized Littlewood-Paley Operators and Area Integrals." Commun. Math. Anal. 16 (1) 66 - 83, 2014.
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