{"main_file_link":[{"url":"http://arxiv.org/abs/1003.4092","open_access":"1"}],"quality_controlled":0,"title":"Conical square functions and non-tangential maximal functions with respect to the Gaussian measure","citation":{"chicago":"Maas, Jan, Jan Van Neerven, and Pierre Portal. “Conical Square Functions and Non-Tangential Maximal Functions with Respect to the Gaussian Measure.” <i>Publicacions Matemàtiques</i>. Universitat Autònoma de Barcelona, Departament de Matemàtique, 2011. <a href=\"https://doi.org/10.5565/PUBLMAT_55211_03  \">https://doi.org/10.5565/PUBLMAT_55211_03  </a>.","apa":"Maas, J., Van Neerven, J., &#38; Portal, P. (2011). Conical square functions and non-tangential maximal functions with respect to the Gaussian measure. <i>Publicacions Matemàtiques</i>. Universitat Autònoma de Barcelona, Departament de Matemàtique. <a href=\"https://doi.org/10.5565/PUBLMAT_55211_03  \">https://doi.org/10.5565/PUBLMAT_55211_03  </a>","ista":"Maas J, Van Neerven J, Portal P. 2011. Conical square functions and non-tangential maximal functions with respect to the Gaussian measure. Publicacions Matemàtiques. 55(2), 313–341.","short":"J. Maas, J. Van Neerven, P. Portal, Publicacions Matemàtiques 55 (2011) 313–341.","mla":"Maas, Jan, et al. “Conical Square Functions and Non-Tangential Maximal Functions with Respect to the Gaussian Measure.” <i>Publicacions Matemàtiques</i>, vol. 55, no. 2, Universitat Autònoma de Barcelona, Departament de Matemàtique, 2011, pp. 313–41, doi:<a href=\"https://doi.org/10.5565/PUBLMAT_55211_03  \">10.5565/PUBLMAT_55211_03  </a>.","ieee":"J. Maas, J. Van Neerven, and P. Portal, “Conical square functions and non-tangential maximal functions with respect to the Gaussian measure,” <i>Publicacions Matemàtiques</i>, vol. 55, no. 2. Universitat Autònoma de Barcelona, Departament de Matemàtique, pp. 313–341, 2011.","ama":"Maas J, Van Neerven J, Portal P. Conical square functions and non-tangential maximal functions with respect to the Gaussian measure. <i>Publicacions Matemàtiques</i>. 2011;55(2):313-341. doi:<a href=\"https://doi.org/10.5565/PUBLMAT_55211_03  \">10.5565/PUBLMAT_55211_03  </a>"},"extern":1,"date_published":"2011-07-01T00:00:00Z","intvolume":"        55","year":"2011","month":"07","publisher":"Universitat Autònoma de Barcelona, Departament de Matemàtique","day":"01","author":[{"full_name":"Jan Maas","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0845-1338","first_name":"Jan","last_name":"Maas"},{"last_name":"Van Neerven","first_name":"Jan","full_name":"van Neerven, Jan M"},{"last_name":"Portal","first_name":"Pierre","full_name":"Portal, Pierre"}],"date_created":"2018-12-11T11:55:50Z","status":"public","publist_id":"4910","date_updated":"2021-01-12T06:55:26Z","abstract":[{"lang":"eng","text":"We study, in L1(R̃n; γ) with respect to the gaussian measure, non- tangential maximal functions and conical square functions associ- ated 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."}],"volume":55,"doi":"10.5565/PUBLMAT_55211_03\t ","type":"journal_article","page":"313 - 341","oa":1,"_id":"2122","publication":"Publicacions Matemàtiques","acknowledgement":"The first named author is supported by Rubicon subsidy 680-50-0901 of the Netherlands Organisation for Scientific Research (NWO). The second named author is supported by VICI subsidy 639.033.604 of the Netherlands Organisation for Scientific Research (NWO","issue":"2","publication_status":"published"}