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arXiv · 2101.05856

Fourier multipliers for Triebel-Lizorkin spaces on graded Lie groups

Duván Cardona·Michael Ruzhansky
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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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Duván Cardona, Michael Ruzhansky. 2021-01-14. Fourier multipliers for Triebel-Lizorkin spaces on graded Lie groups. https://arxiv.org/abs/2101.05856

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