Logarithmic inequalities for Fourier multipliers
Logarithmic inequalities for Fourier multipliers
In the paper we study LlogL estimates for Fourier multipliers resulting from modulation of the jumps of Lévy processes. We exhibit a class of functions $$m:\mathbb R ^d \rightarrow \mathbb C $$ , for which the corresponding multipliers $$T_m$$ satisfy the following estimate: for $$K>1$$ , any locally integrable function …