paper

Fourier multipliers for Triebel-Lizorkin spaces on graded Lie groups

arXiv:2101.05856

Abstract

In this work we investigate the boundedness of Fourier multipliers on Triebel-Lizorkin spaces associated to positive Rockland operators on a graded Lie group. The found criterion is expressed in terms of the Hörmander-Mihlin condition on the global symbol of a Fourier multiplier.

25 Pages. arXiv admin note: text overlap with arXiv:1610.04701