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math.CA2018
Boundedness of Hilbert Transforms along Variable Flat Curves
Junfeng Li, Haixia Yu
In this paper, the boundedness of the Hilbert transform along variable flat curve $$H_{P,γ}f(x_1,x_2):=\mathrm{p.\,v.}\int_{-\infty}^{\infty}f(x_1-t,x_2-P(x_…
math.CA2018★ 1 cited
Boundedness of Hilbert Transforms Associated with Variable Plane Curves
Haixia Yu, Junfeng Li
Let . In this paper, for any given measurable function and a generalized plane curve satisfying some conditions, the $L^…