Fourier multipliers for Triebel-Lizorkin spaces on graded Lie groups

Published 14 Jan 2021 in math.FA and math.AP | (2101.05856v2)

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 H\"ormander-Mihlin condition on the global symbol of a Fourier multiplier.

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