Characterization of two-parameter matrix valued BMO by commutator with the Hilbert Transform

dc.creator	Mena Arias, Darío Alberto
dc.date.accessioned	2023-09-07T15:18:12Z
dc.date.available	2023-09-07T15:18:12Z
dc.date.issued	2018
dc.description.abstract	In this paper, we prove that the space of two parameter matrix-valued BMO functions can be characterized by considering iterated commutators with the Hilbert transform. The upper estimate relies on Petermichl's representation of the Hilbert transform as an average of dyadic shifts and the boundedness of certain paraproduct operators, while the lower bound follows Ferguson and Lacey's proof for the scalar case.	es
dc.description.procedence	UCR::Vicerrectoría de Docencia::Ciencias Básicas::Facultad de Ciencias::Escuela de Matemática	es
dc.identifier.citation	https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-48/issue-2/Characterization-of-a-two-parameter-matrix-valued-BMO-by-commutator/10.1216/RMJ-2018-48-2-529.full?tab=ArticleLink
dc.identifier.doi	https://doi.org/10.1216/RMJ-2018-48-2-529
dc.identifier.issn	0035-7596
dc.identifier.uri	https://hdl.handle.net/10669/89946
dc.language.iso	eng
dc.rights	acceso embargado
dc.source	Rocky Mountain Journal of Mathematics, vol.48 (2), pp.529-550	es
dc.subject	MATHEMATICS	es
dc.title	Characterization of two-parameter matrix valued BMO by commutator with the Hilbert Transform	es
dc.type	artículo original	es

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