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FIELD Mathematics February 23 (Fri), 2018 15:00-16:30 7323 Shin, Youngtae Ham, Seheon POSTECH The L^p-L^q estimates for degenerate Radon transforms in C^2 We obtain some $L^p \ra L^q$ estimates for the semi-translation invariant Radon transform defined by \bgn{equation*} Rf(z,\tau)=\int_\mathbb{C}f(\xi,\tau+P(z,\xi))\psi(z,\xi)dA_{\xi}, \end{equation*}where $\psi$ is a cutoff function supported in a small neighborhood of the origin. Here, $dA_{\xi}=dxdy$ provided that $\xi=x+iy$, where $x,y\in\mathbb{R}$.

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