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| 18 | + |
| 19 | + |
| 20 | +\refsection{0} |
| 21 | + \sortlist{entry}{nty} |
| 22 | + \entry{Maas2011b}{article}{} |
| 23 | + \name{labelname}{3}{}{% |
| 24 | + {{hash=a2a6616efceb7a78b10661e00cd48076}{Maas}{M\bibinitperiod}{Jan}{J\bibinitperiod}{}{}{}{}}% |
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| 26 | + {{hash=72181505e073b35a6d75a96812fb827c}{Portal}{P\bibinitperiod}{Pierre}{P\bibinitperiod}{}{}{}{}}% |
| 27 | + } |
| 28 | + \name{author}{3}{}{% |
| 29 | + {{hash=a2a6616efceb7a78b10661e00cd48076}{Maas}{M\bibinitperiod}{Jan}{J\bibinitperiod}{}{}{}{}}% |
| 30 | + {{hash=e4acd277d61cb5b06a5c302193d7f8d9}{Neerven}{N\bibinitperiod}{Jan}{J\bibinitperiod}{}{}{}{}}% |
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| 35 | + \field{sortinit}{M} |
| 36 | + \field{labeltitle}{{Whitney coverings and the tent spaces $T^{1,q}(\gamma)$ for the Gaussian measure}} |
| 37 | + \field{issn}{0004-2080} |
| 38 | + \field{journaltitle}{Arkiv för Matematik} |
| 39 | + \field{month}{04} |
| 40 | + \field{number}{2} |
| 41 | + \field{title}{{Whitney coverings and the tent spaces $T^{1,q}(\gamma)$ for the Gaussian measure}} |
| 42 | + \field{volume}{50} |
| 43 | + \field{year}{2011} |
| 44 | + \field{pages}{379\bibrangedash 395} |
| 45 | + \verb{doi} |
| 46 | + \verb 10.1007/s11512-010-0143-z |
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| 51 | + \endentry |
| 52 | + \entry{Mauceri2007}{article}{} |
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| 55 | + {{hash=27346ed0c5a61e40f4eb42518bc45e80}{Meda}{M\bibinitperiod}{Stefano}{S\bibinitperiod}{}{}{}{}}% |
| 56 | + } |
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| 60 | + } |
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| 63 | + \field{sortinit}{M} |
| 64 | + \field{labeltitle}{{$\textrm{BMO}$ and $H^1$ for the Ornstein-Uhlenbeck operator}} |
| 65 | + \field{issn}{0022-1236} |
| 66 | + \field{journaltitle}{Journal of Functional Analysis} |
| 67 | + \field{month}{11} |
| 68 | + \field{number}{1} |
| 69 | + \field{title}{{$\textrm{BMO}$ and $H^1$ for the Ornstein-Uhlenbeck operator}} |
| 70 | + \field{volume}{252} |
| 71 | + \field{year}{2007} |
| 72 | + \field{pages}{278\bibrangedash 313} |
| 73 | + \verb{doi} |
| 74 | + \verb 10.1016/j.jfa.2007.06.017 |
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| 83 | + \endentry |
| 84 | + \entry{Pineda2008}{article}{} |
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| 94 | + \strng{fullhash}{730dc549b7d649451c4176cd9a5a4fb9} |
| 95 | + \field{sortinit}{P} |
| 96 | + \field{labeltitle}{{Non Tangential Convergence for the Ornstein-Uhlenbeck Semigroup}} |
| 97 | + \field{journaltitle}{Divulgaciones Matemáticas} |
| 98 | + \field{number}{2} |
| 99 | + \field{title}{{Non Tangential Convergence for the Ornstein-Uhlenbeck Semigroup}} |
| 100 | + \field{volume}{13} |
| 101 | + \field{year}{2008} |
| 102 | + \field{pages}{1\bibrangedash 19} |
| 103 | + \verb{file} |
| 104 | + \verb :home/jonasteuwen/Documents/Mendeley/Pineda, Urbina, Urbina R. - 2008 - Non Tangential Convergence for the Ornstein-Uhlenbeck Semigroup.pdf:pdf |
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| 106 | + \verb{url} |
| 107 | + \verb http://www.emis.ams.org/journals/DM/v16-1/art7.pdf |
| 108 | + \endverb |
| 109 | + \keyw{and phrases,hermite expansions,non tangential convergence,ornstein-,poisson-hermite semigroup,uhlenbeck semigroup} |
| 110 | + \endentry |
| 111 | + \entry{Portal2012}{unpublished}{} |
| 112 | + \name{labelname}{1}{}{% |
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| 114 | + } |
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| 117 | + } |
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| 119 | + \strng{fullhash}{72181505e073b35a6d75a96812fb827c} |
| 120 | + \field{sortinit}{P} |
| 121 | + \field{labeltitle}{{Maximal and quadratic Gaussian Hardy spaces}} |
| 122 | + \field{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.} |
| 123 | + \field{annotation}{Preprint} |
| 124 | + \field{eprinttype}{arXiv} |
| 125 | + \field{month}{03} |
| 126 | + \field{title}{{Maximal and quadratic Gaussian Hardy spaces}} |
| 127 | + \field{year}{2012} |
| 128 | + \verb{eprint} |
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| 131 | + \verb{url} |
| 132 | + \verb http://arxiv.org/abs/1203.1998 |
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| 134 | + \endentry |
| 135 | + \entry{Sjogren1997}{article}{} |
| 136 | + \name{labelname}{1}{}{% |
| 137 | + {{hash=58d187f94da7560ff4a5d473d1cd37ba}{Sjögren}{S\bibinitperiod}{Peter}{P\bibinitperiod}{}{}{}{}}% |
| 138 | + } |
| 139 | + \name{author}{1}{}{% |
| 140 | + {{hash=58d187f94da7560ff4a5d473d1cd37ba}{Sjögren}{S\bibinitperiod}{Peter}{P\bibinitperiod}{}{}{}{}}% |
| 141 | + } |
| 142 | + \list{publisher}{1}{% |
| 143 | + {Birkhäuser Boston}% |
| 144 | + } |
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| 146 | + \strng{fullhash}{58d187f94da7560ff4a5d473d1cd37ba} |
| 147 | + \field{sortinit}{S} |
| 148 | + \field{labeltitle}{{Operators associated with the hermite semigroup — A survey}} |
| 149 | + \field{issn}{1069-5869} |
| 150 | + \field{journaltitle}{The Journal of Fourier Analysis and Applications} |
| 151 | + \field{month}{01} |
| 152 | + \field{number}{S1} |
| 153 | + \field{title}{{Operators associated with the hermite semigroup — A survey}} |
| 154 | + \field{volume}{3} |
| 155 | + \field{year}{1997} |
| 156 | + \field{pages}{813\bibrangedash 823} |
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| 158 | + \verb 10.1007/BF02656487 |
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| 166 | + \keyw{hermite,ornstein-uhlenbeck} |
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| 168 | + \endsortlist |
| 169 | +\endrefsection |
| 170 | +\endinput |
| 171 | + |
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