Asymptotic behavior of $L^p$ estimates for a class of multipliers with homogeneous unimodular symbols

Aleksandar Bulj, Vjekoslav Kovač

We study Fourier multiplier operators associated with symbols $\xi \mapsto \exp (i\lambda \varphi (\xi /|\xi |))$, where $\lambda$ is a real number and $\varphi$ is a real-valued $C^{\infty }$ function on the standard u…