Lorentz spaces and lie groups

Tychopoulos, E

dc.contributor.author	Tychopoulos, E	en
dc.date.accessioned	2014-03-01T01:12:02Z
dc.date.available	2014-03-01T01:12:02Z
dc.date.issued	1996	en
dc.identifier.issn	0021-9045	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11931
dc.subject.classification	Mathematics	en
dc.title	Lorentz spaces and lie groups	en
heal.type	journalArticle	en
heal.identifier.primary	10.1006/jath.1996.0020	en
heal.identifier.secondary	http://dx.doi.org/10.1006/jath.1996.0020	en
heal.language	English	en
heal.publicationDate	1996	en
heal.abstract	This paper is motivated by the behavior of the heat diffusion kernel p(t)(x) on a general unimodular Lie group. Indeed. contrary to what happens in R(n), the P-t(x) on a general Lie group is behaving like t(-delta(t)/2) for two possibly distinct integers delta(t), one for t tending to 0 and another for t tending to infinity, namely d and D. This forces us to consider a natural generalization of Lorentz spaces with different indices at ''zero'' and at ''infinity.'' (C) 1996 Academic Press, Inc.	en
heal.publisher	ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS	en
heal.journalName	Journal of Approximation Theory	en
dc.identifier.doi	10.1006/jath.1996.0020	en
dc.identifier.isi	ISI:A1996TZ73500003	en
dc.identifier.volume	84	en
dc.identifier.issue	3	en
dc.identifier.spage	274	en
dc.identifier.epage	289	en