超曲面的奇异积分：$L^2$理论
Singular Integrals Associated to Hypersurfaces: $L^2$ Theory
摘要：
我们考虑与经典的Calderón-Zygmund核$K$和由$φ(ψ(t))$的图给出的超曲面相关联的奇异积分，其中$φ$是任意的$C^1$函数，$ψ$是有限型光滑凸函数.给出了Calderón-Zygmund核$K$和凸函数$ψ$的一个特征，使得对所有$φ$ $C^1$，相应的奇异积分算子在$L^2$上有界.
英文摘要：
We consider singular integrals associated to a classical Calderón-Zygmund kernel $K$ and a hypersurface given by the graph of $φ(ψ(t))$ where $φ$ is an arbitrary $C^1$ function and $ψ$ is a smooth convex function of finite type. We give a characterization of those Calderón-Zygmund kernels $K$ and convex functions $ψ$ so that the associated singular integral operator is bounded on $L^2$ for all $C^1$ functions $φ$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
