Hausdorff measures and functions of bounded quadratic variation

Apatsidis, D; Argyros, SA; Kanellopoulos, V

dc.contributor.author	Apatsidis, D	en
dc.contributor.author	Argyros, SA	en
dc.contributor.author	Kanellopoulos, V	en
dc.date.accessioned	2014-03-01T01:35:47Z
dc.date.available	2014-03-01T01:35:47Z
dc.date.issued	2011	en
dc.identifier.issn	0002-9947	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21192
dc.subject	Banach spaces with non-separable dual	en
dc.subject	Functions of bounded p-variation	en
dc.subject	Hausdorff measures	en
dc.subject	James Function space	en
dc.subject.classification	Mathematics	en
dc.subject.other	P-VARIATION	en
dc.subject.other	SUPERPOSITION OPERATORS	en
dc.subject.other	BANACH-SPACE	en
dc.subject.other	L1	en
dc.title	Hausdorff measures and functions of bounded quadratic variation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1090/S0002-9947-2011-05209-8	en
heal.identifier.secondary	http://dx.doi.org/10.1090/S0002-9947-2011-05209-8	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	To each function f of bounded quadratic variation we associate a Hausdorff measure μf. We show that the map f → μf is locally Lipschitz and onto the positive cone of μ[0,1]. We use the measures {μf:f ∈ V2} to determine the structure of the subspaces of V02 which either contain c0 or the square stopping time space S2. © 2011 American Mathematical Society.	en
heal.publisher	AMER MATHEMATICAL SOC	en
heal.journalName	Transactions of the American Mathematical Society	en
dc.identifier.doi	10.1090/S0002-9947-2011-05209-8	en
dc.identifier.isi	ISI:000292621900013	en
dc.identifier.volume	363	en
dc.identifier.issue	8	en
dc.identifier.spage	4225	en
dc.identifier.epage	4262	en