Zoom 회의 ID: 356 501 3138, PW: 471247

 

Hörmander proved (Acta. Math. 1960) that the Fourier multiplier is Lp-Lq bounded if the symbol lies in the weak Lr  p,q,r.  In recent years, this result was generalized to more general groups and quantum groups. Here we presented an extension to certain locally compact quantum groups. It covers the known results and the proof is simpler. It also yields a family of Lp-Fourier multipliers over compact quantum groups of Kac type. The talk is based on arXiv:2201.08346.