A decay estimate for the Fourier transform of certain singular measures in ${\mathbb{R}}^4$ and applications

Tomás Godoy, Pablo Rocha

We consider, for a class of functions $\phi :{\mathbb{R}}^2\setminus \{0\}\to {\mathbb{R}}^2$ satisfying a nonisotropic homogeneity condition, the Fourier transform $\hat{\mu }$…