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We establish sharp global regularity of a class of multilinear oscillatory integral operators that are associated to nonlinear dispersive equations with both Banach and quasi-Banach target spaces. As a consequence we also prove the (local in time) co
Externí odkaz:
http://arxiv.org/abs/2302.00048
Autor:
Bergfeldt, Aksel
We show regularity of multilinear Schrödinger integral operators as well as multilinear oscillatory integrals with connection to dispersive partial differential equations. These results are used to show regularity of a system of nonlinear dispersive
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______361::5d84b31b71cbec98f3ca28b4d44dee02
http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-500277
http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-500277
Publikováno v:
Analysis and Mathematical Physics. 12
We prove weighted norm inequalities with Muckenhoupt’s $$A_p$$ 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
Akademický článek
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Autor:
Bergfeldt, Aksel, Staubach, Wolfgang
Publikováno v:
Analysis & Applications; Mar2023, Vol. 21 Issue 2, p385-427, 43p