Vector-valued Hardy spaces in non-smooth domains

dc.contributor.author	Perez-Esteva, S
dc.contributor.author	Rivera-Noriega, J
dc.date.accessioned	2011-01-22T10:26:17Z
dc.date.available	2011-01-22T10:26:17Z
dc.date.issued	2007
dc.identifier.issn	0022-247X
dc.identifier.uri	http://hdl.handle.net/11154/1182
dc.description.abstract	We characterize the Radon-Nikodym property of a Banach space X in terms of the existence of nontangential limits of X-valued harmonic functions u defined in a domain D subset of R-n, n > 2, with Lipschitz boundary and belonging to maximal Hardy spaces. This extends the same result previously known for the unit disk of C. We also prove an atomic decomposition of the Borel X-valued measures in a D that arise as boundary limits of X-valued harmonic functions whose non-tangential maximal function is integrable with respect to harmonic measure of a D. (C) 2006 Elsevier Inc. All rights reserved.	en_US
dc.language.iso	en	en_US
dc.title	Vector-valued Hardy spaces in non-smooth domains	en_US
dc.type	Article	en_US
dc.identifier.idprometeo	1164
dc.identifier.doi	10.1016/j.jmaa.2006.06.097
dc.source.novolpages	330(1):388-405
dc.subject.wos	Mathematics, Applied
dc.subject.wos	Mathematics
dc.description.index	WoS: SCI, SSCI o AHCI
dc.subject.keywords	Radon-Nikodym property
dc.subject.keywords	vector-valued harmonic functions
dc.subject.keywords	Fatou theorems
dc.subject.keywords	atomic decompositions of Hardy spaces
dc.relation.journal	Journal of Mathematical Analysis and Applications