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$L^p$ Decay Estimates for Circular Means of Fractal Measures in $\mathbb{R}^2$
In this paper, we investigate weighted $L^p\rightarrow L^q$ restriction estimates for the Fourier extension operator associated with planar curves of non-vanishing curvature. More precisely, we establish estimates of the form \begin{equation} \|Ef\|_{L^q(X)}\leq C_εR^ε\|f\|_p, \end{equation} where
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