Conical square functions and non-tangential maximal functions with respect to the gaussian measure

dc.contributor.author
Maas, Jan
dc.contributor.author
Neerven, Jan van
dc.contributor.author
Portal, Pierre
dc.date.issued
2011
dc.identifier
https://ddd.uab.cat/record/76158
dc.identifier
urn:10.5565/PUBLMAT_55211_03
dc.identifier
urn:oai:ddd.uab.cat:76158
dc.identifier
urn:articleid:20144350v55n2p313
dc.identifier
urn:oai:raco.cat:article/244957
dc.identifier
urn:scopus_id:79958737855
dc.identifier
urn:wos_id:000293210000003
dc.description.abstract
We study, in in L1(Rn;ƴ) with respect to the gaussian measure, non-tangential maximal functions and conical square functions associated with the Ornstein-Uhlenbeck operator by developing a set of techniques which allow us, to some extent, to compensate for the non-doubling character of the gaussian measure. The main result asserts that conical square functions can be controlled in L1-norm by non-tangential maximal functions. Along the way we prove a change of aperture result for the latter. This complements recent results on gaussian Hardy spaces due to Mauceri and Meda.
dc.format
application/pdf
dc.language
eng
dc.publisher
dc.relation
Publicacions matemàtiques ; Vol. 55, Núm. 2 (2011), p. 313-341
dc.rights
open access
dc.rights
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dc.rights
https://rightsstatements.org/vocab/InC/1.0/
dc.title
Conical square functions and non-tangential maximal functions with respect to the gaussian measure
dc.type
Article


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