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Teuwen-GaussianMF.bib
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Teuwen-GaussianMF.bib
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@article{MaasNeervenPortal2011,
abstract = {We introduce a technique for handling Whitney decompositions in Gaussian harmonic analysis and apply it to the study of Gaussian analogues of the classical tent spaces $T^{1, q}$ of Coifman–Meyer–Stein.},
author = {Maas, Jan and van Neerven, Jan and Portal, Pierre},
doi = {10.1007/s11512-010-0143-z},
issn = {0004-2080},
journal = {Arkiv f\"{o}r Matematik},
keywords = {Gaussian,Mathematics and Statistics,Whitney,measure,tent},
month = apr,
number = {2},
pages = {379--395},
publisher = {Springer Netherlands},
title = {{Whitney coverings and the tent spaces $T^{1,q}(\gamma)$ for the Gaussian measure}},
volume = {50},
year = {2011}
}
@article{MaasNeervenPortal2011b,
abstract = {We study, in \$L\^{}\{1\}(\backslash R\^{}n;\backslash gamma)\$ 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 \$L\^{}1\$-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.},
archivePrefix = {arXiv},
arxivId = {1003.4092},
author = {Maas, Jan and van Neerven, Jan and Portal, Pierre},
eprint = {1003.4092},
journal = {Publicacions Matem\`{a}tiques},
keywords = {and phrases,ganisation for scientific research,gaussian measure,hardy spaces,is supported by rubicon,is supported by vici,maximal function,netherlands or-,nwo,ornstein-uhlenbeck operator,square function,subsidy,subsidy 680-50-0901 of the,the first named author,the second named author},
month = mar,
number = {2},
pages = {21},
publisher = {Universitat Aut\`{o}noma de Barcelona, Departament de Matem\`{a}tiques},
title = {{Non-tangential maximal functions and conical square functions with respect to the Gaussian measure}},
url = {http://projecteuclid.org/euclid.pm/1308748950},
volume = {55},
year = {2010}
}
@article{Pineda2008,
author = {Pineda, Ebner and Urbina, Wilfredo R.},
issn = {1315-2068},
journal = {Divulgaciones Matem\'{a}ticas},
keywords = {hermite expansions,non tangential convergence,ornstein-uhlenbeck,poisson-hermite semigroup,uhlenbeck semigroup},
number = {2},
pages = {1--19},
title = {{Non Tangential Convergence for the Ornstein-Uhlenbeck Semigroup}},
url = {http://www.emis.ams.org/journals/DM/v16-1/art7.pdf},
volume = {13},
year = {2008}
}
@article{Portal2014,
abstract = {Building on the author's recent work with Jan Maas and Jan van Neerven, this paper establishes the equivalence of two norms (one using a maximal function, the other a square function) used to define a Hardy space on $\R^{n}$ with the gaussian measure, that is adapted to the Ornstein-Uhlenbeck semigroup. In contrast to the atomic Gaussian Hardy space introduced earlier by Mauceri and Meda, the $h^{1}(\R^{n};d\gamma)$ space studied here is such that the Riesz transforms are bounded from $h^{1}(\R^{n};d\gamma)$ to $L^{1}(\R^{n};d\gamma)$. This gives a gaussian analogue of the seminal work of Fefferman and Stein in the case of the Lebesgue measure and the usual Laplacian.},
author = {Portal, Pierre},
journal = {Revista Matem\'{a}tica Iberoamericana},
title = {{Maximal and quadratic Gaussian Hardy spaces}},
number = {1},
volume = {30},
pages = {79--108}
keywords = {Hardy,gaussian,ornstein,uhlenbeck},
month = mar,
year = {2014},
}
@article{Sjogren1983,
author = {Sj\"{o}gren, Peter},
doi = {10.2307/2374340},
issn = {00029327},
journal = {American Journal of Mathematics},
month = oct,
number = {5},
pages = {1231--1233},
title = {{A Remark on the Maximal Function for Measures in $\mathbf{R}^n$}},
volume = {105},
year = {1983}
}
@article{Sjogren1997,
author = {Sj\"{o}gren, Peter},
doi = {10.1007/BF02656487},
issn = {1069-5869},
journal = {The Journal of Fourier Analysis and Applications},
keywords = {hermite,ornstein-uhlenbeck},
month = jan,
number = {S1},
pages = {813--823},
publisher = {Birkh\"{a}user Boston},
title = {{Operators associated with the Hermite semigroup -- a survey}},
url = {http://link.springer.com/10.1007/BF02656487},
volume = {3},
year = {1997}
}
@article{Mauceri2007,
author = {Mauceri, Giancarlo and Meda, Stefano},
doi = {10.1016/j.jfa.2007.06.017},
issn = {00221236},
journal = {Journal of Functional Analysis},
keywords = {a,analisi armonica,analisi tempo-frequenza e,and the progetto cofinanziato,atomic hardy space,bmo,corresponding author,gauss measure,imaginary powers,laplaciani generalizzati,m,n,p,prin2005,project,riesz transform,singular integrals,teoria delle rappresentazioni,the italian g,work partially supported by},
month = nov,
number = {1},
pages = {278--313},
title = {{BMO and $H^1$ for the Ornstein–Uhlenbeck operator}},
url = {http://linkinghub.elsevier.com/retrieve/pii/S0022123607002613},
volume = {252},
year = {2007}
}
@book {Stein1993,
AUTHOR = {Stein, Elias M.},
TITLE = {Harmonic analysis: real-variable methods, orthogonality, and
oscillatory integrals},
SERIES = {Princeton Mathematical Series},
VOLUME = {43},
NOTE = {With the assistance of Timothy S. Murphy,
Monographs in Harmonic Analysis, III},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {1993},
PAGES = {xiv+695},
ISBN = {0-691-03216-5},
MRCLASS = {42-02 (35Sxx 43-02 47G30)},
MRNUMBER = {1232192 (95c:42002)},
MRREVIEWER = {Michael Cowling},
}
@book{Mattila1995,
address = {Cambridge},
author = {Mattila, Pertti},
doi = {10.1017/CBO9780511623813},
isbn = {9780511623813},
pmid = {3487781},
publisher = {Cambridge University Press},
title = {{Geometry of Sets and Measures in Euclidean Spaces}},
year = {1995}
}
@article{Liliana2002,
author = {L. Forzani and R. Scotto and P. Sj\"{o}gren and W. Urbina},
doi = {10.1090/S0002-9939-01-06156-1},
journal = {Proceedings of the American Mathematical Society},
mendeley-groups = {Mathematics},
number = {1},
pages = {73--79},
title = {{On the $L^p$ boundedness of the non-centered Gaussian Hardy-Littlewood maximal function}},
volume = {130},
year = {2002}
}