Sup Norm using FT

Question

For some proper signal $x(t)$ the Fourier transform is given $$X(\omega)\equiv\frac{1}{\sqrt{2\pi}}\int dt x(t) e^{-i\omega t}$$ Is there a $simple$ way to write down the sup norm of the signal in time domain $$||x||_\infty\equiv \sup_t |x(t)|$$ in terms of its FT? That is without using the inverse FT ofcourse.