Lp-Lq Fourier multipliers on locally compact quantum groups

Haonan Zhang (Institute of Science and Technology Austria, Austria)

14-Feb-2022, 15:00-16:00 (2 years ago)

Abstract: Hörmander proved that the Fourier multiplier is Lp-Lq bounded if the symbol lies in the weak Lr space, for certain 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.

operator algebras

Audience: researchers in the topic


Quantum Groups Seminar [QGS]

Series comments: This seminar aims to bring together experts in the area of quantum groups. The seminar topics will cover the theory of quantum groups and related structures in a large sense: Hopf algebras, operator algebras, q-deformations, higher categories and related branches of noncommutative mathematics.

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Organizers: Rubén Martos, Frank Taipe*, Makoto Yamashita
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