Rescaled extrapolation for vector-valued functions
Amenta, Alex (Delft Institute of Applied Mathematics (Delft, Països Baixos))
Lorist, Emiel (Delft Institute of Applied Mathematics (Delft, Països Baixos))
Veraar, Mark (Delft Institute of Applied Mathematics (Delft, Països Baixos))

Date:	2019
Abstract:	We extend Rubio de Francia's extrapolation theorem for functions valued in UMD Banach function spaces, leading to short proofs of some new and known results. In particular we prove Littlewood-Paley-Rubio de Francia-type estimates and boundedness of variational Carleson operators for Banach function spaces with UMD concavifications.
Note:	The authors are supported by the VIDI subsidy 639.032.427 of the Netherlands Organisation for Scientific Research (NWO).
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Extrapolation ; Muckenhoupt weights ; UMD ; Banach function spaces ; P-convexity ; Hardy-littlewood maximal function ; Fourier multipliers ; Variational carleson operator ; Littlewood-paley-rubio de francia inequalities
Published in:	Publicacions matemàtiques, Vol. 63 Núm. 1 (2019) , p. 155-182 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/347134
DOI: 10.5565/PUBLMAT6311905

28 p, 460.9 KB

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