【摘要】 该文主要考虑限制在齐次超曲面上的测度dμ的Fourier变换的L~q范数估计.基于此结论,还得到了一些有关卷积算子Tf(x,θ)=f*μ_θ(x)的混合范数不等式.更多还原

【Abstract】 In this paper,the authors consider average decay estimates for the Fourier transformμof densities supported on a homogeneous hypersurface.Based on these results,the authors also obain some mixed-norm inequalities for the convolution operator defined by Tf（x,θ） = f *μ₀（x）,whereμ_θ（x） is the rotation measure.更多还原