Fourier multipliers for Triebel-Lizorkin spaces on graded Lie groups
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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| Sprache: | eng |
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| Zusammenfassung: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.2101.05856 |