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- W4297821787 abstract "We investigate the Hilbert transform and the maximal operator along a class of variable non-flat polynomial curves $(P(t),u(x)t)$ with measurable $u(x)$, and prove uniform $L^p$ estimates for $1<p<infty$. In particular, via the change of variable, these uniform estimates are equal to the ones for the curves $(P(v(x)t),t)$ with measurable $v(x)$. To obtain the desired bound, we make full use of time-frequency techniques and establish a crucial $epsilon$-improving estimate for some special separate sets." @default.
- W4297821787 created "2022-10-01" @default.
- W4297821787 creator A5018655840 @default.
- W4297821787 date "2022-09-13" @default.
- W4297821787 modified "2023-09-29" @default.
- W4297821787 title "$L^p$ estimates for Hilbert transform and maximal operator associated to variable polynomial" @default.
- W4297821787 doi "https://doi.org/10.48550/arxiv.2209.05825" @default.
- W4297821787 hasPublicationYear "2022" @default.
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