Abstract
This paper is concerned with the Carleson type maximal operator defined by
where is the polynomial in with real coefficients . Under the assumption that the kernel function satisfies an -Hörmander condition with , the authors show that is bounded on the weighted Lebesgue spaces for and , which improves and generalizes the previous results obtained by Stein and Wainger (Math. Res. Lett. 8:5-6 (2001), 789–800), and Ding and Liu (Proc. Amer. Math. Soc. 140:8 (2012), 2739–2751).
Citation
Chenyan Wang. Huoxiong Wu. "WEIGHTED -BOUNDS FOR THE CARLESON TYPE MAXIMAL OPERATOR WITH KERNEL SATISFYING MILD REGULARITY." Rocky Mountain J. Math. 54 (1) 269 - 282, February 2024. https://doi.org/10.1216/rmj.2024.54.269
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