On weighted norm inequalities for oscillatory integral operators

We prove weighted norm inequalities with Muckenhoupt’s A p -weights, for a wide class of oscillatory integral operators. As a consequence, one also obtains the boundedness of commutators of the aforementioned operators with functions in BMO.

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Veröffentlicht in:	Analysis and mathematical physics 2022, Vol.12 (6), Article 136
Hauptverfasser:	Bergfeldt, Aksel, Rodríguez-López, Salvador, Staubach, Wolfgang
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Commutators Commutators with BMO Inequalities Mathematical Methods in Physics Mathematics Mathematics and Statistics Muckenhoupt weights Operators (mathematics) Oscillatory integral operators Weighted norm inequalities
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Beschreibung
Zusammenfassung:	We prove weighted norm inequalities with Muckenhoupt’s A p -weights, for a wide class of oscillatory integral operators. As a consequence, one also obtains the boundedness of commutators of the aforementioned operators with functions in BMO.
ISSN:	1664-2368 1664-235X 1664-235X
DOI:	10.1007/s13324-022-00748-9