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<top_article>
<mrnumber>MR1913685</mrnumber>
<author>Giulia FURIOLI and Elide TERRANEO</author>
<author_utf8>Giulia FURIOLI and Elide TERRANEO</author_utf8>
<title>Molecules of the Hardy Space and the Navier-Stokes Equations</title>
<journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
<volume>45</volume>
<year>2002</year>
<page>141--160</page>
<url_pdf>http://fe.math.kobe-u.ac.jp/FE/FullPapers/vol45/fe45-1-8.pdf</url_pdf>
<mathsci_link>http://www.ams.org/mathscinet-getitem?mr=MR1913685</mathsci_link>
<fesi_info>
  <FILE>45-141</FILE>
  <YEAR>2002</YEAR>
  <TITLE>Molecules of the Hardy Space and the Navier-Stokes Equations</TITLE>
  <AUTHOR>Giulia FURIOLI and Elide TERRANEO</AUTHOR>
  <AUTHOR_utf8>Giulia FURIOLI and Elide TERRANEO</AUTHOR_utf8>
</fesi_info>

<references>

<other>
<bibitem>1</bibitem>
<raw_data>Amrouche, C.; Girault, Y.; Schonbek, M. E.; Schonbek, T., Pointwise decay of solutions and of higher derivatives to Navier-Stokes equations, Preprint, UC Santa Cruz (1999)</raw_data>
<mr>MR1745144</mr>
</other>

<other>
<bibitem>2</bibitem>
<raw_data>Brandolese, L., personal commumcation</raw_data>
</other>

<other>
<bibitem>3</bibitem>
<raw_data>Brandolese, L., Ecole Normale Superieure de Cachan, PhD Thesis, work in progress</raw_data>
</other>

<article>
<bibitem>4</bibitem>
<author>Carpio, A.</author>
<title>Large-time behavior in incompressible Navier-stokes equations</title>
<journal>SIAM J. Math. Anal.</journal>
<vol>27</vol>
<year>1996</year>
<page>449-475</page>
<mr>MR1377483</mr>
</article>

<article>
<bibitem>5</bibitem>
<author>Coifman, R. R.; Weiss, G.</author>
<title>Extension of the Hardy spaces and their use in analysis</title>
<journal>Bull. Amer. Math. Soc.</journal>
<vol>83</vol>
<year>1977</year>
<page>569-645</page>
<mr>MR0447954</mr>
</article>

<other>
<bibitem>6</bibitem>
<raw_data>Furioli, G.; Lemarie-Rieusset, P. G.; Terraneo, E., Unicit&#233; dans $L^3(R^3)$ et d'autres espaces fonctionnels limites pour Navier-Stokes, to appear in Revista Mat. Iberoam.</raw_data>
<mr>MR1813331</mr>
</other>

<other>
<bibitem>7</bibitem>
<raw_data>He, C.; Xin, Z., On the decay properties of solutions to the non-stationary Navier-Stokes equations in $R^3$, preprint, The Chinese University of Hong Kong (1999)</raw_data>
<mr>MR1838503</mr>
</other>

<article>
<bibitem>8</bibitem>
<author>Lemari&#233;-Rieusset, P. G.</author>
<title>Ondelettes et poids de Muckenhoupt</title>
<journal>Studia Math.</journal>
<vol>108</vol>
<year>1994</year>
<page>127-147</page>
<mr>MR1259500</mr>
</article>

<other>
<bibitem>9</bibitem>
<raw_data>Lemari&#233;-Rieusset, P. G., Weak infinite-energy solutions for the Navier-Stokes equations in $R^3$, Universit&#233; d'&#201;vry-Val d'Essonne, Preprint n. 92</raw_data>
<mr>MR1701373</mr>
</other>

<article>
<bibitem>10</bibitem>
<author>Muckenhoupt, B.</author>
<title>Weighted norm inequalities for the Hardy maximal function</title>
<journal>Trans. Amer. Math. Soc.</journal>
<vol>165</vol>
<year>1972</year>
<page>207-226</page>
<mr>MR0293384</mr>
</article>

<other>
<bibitem>11</bibitem>
<raw_data>May, R., Sur l'unicit&#233; et la r&#233;gularit&#233; d'une classe de solutions des &#233;quations "mild" de Navier-stokes tridimensionnelles, Universit&#233; d'&#201;vry-Val d'Essonne, PhD Thesis, work in progress</raw_data>
</other>

<article>
<bibitem>12</bibitem>
<author>Miyakawa, T.</author>
<title>Hardy spaces of solenoidal vector fields, with applications to the Navier-Stokes equations</title>
<journal>Kyushu J. Math.</journal>
<vol>50</vol>
<year>1996</year>
<page>1-64</page>
<mr>MR1447908</mr>
</article>

<fearticle>
<bibitem>13</bibitem>
<author>Miyakawa, T.</author>
<title>Application of Hardy space techniques to the time-decay problem for incompressible Navier-Stokes flows in $R^n$</title>
<journal>Funkcial. Ekvac.</journal>
<vol>41</vol>
<year>1998</year>
<page>383-434</page>
<mr>MR1676881</mr>
<feart>1676881</feart>
</fearticle>

<other>
<bibitem>14</bibitem>
<raw_data>Planchon, F., Solutions globales et comportement asymptotique pour les &#233;quations de Navier-Stokes, PhD Thesis, &#201;cole Polytechnique (1996)</raw_data>
</other>

<other>
<bibitem>15</bibitem>
<raw_data>Schonbek, M. E. and Schonbek, T., On the boundedness and decay of moments of solutxons of the Navxer-Stokes equations, Preprint CEREMADE, Universit&#233; de Paris IX, Dauphine (1996)</raw_data>
<mr>MR1776344</mr>
</other>

<book>
<bibitem>16</bibitem>
<author>Stein, E. M.</author>
<booktitle>Harmonic Analysis. Real-variable methods orthogonality and oscillatory integrals</booktitle>
<publisher>Princeton University Press</publisher>
<year>1993</year>
<mr>MR1232192</mr>
</book>

<article>
<bibitem>17</bibitem>
<author>Takahashi, S.</author>
<title>A weighted equation approach to decay rate estimates for the Navier-Stokes equations</title>
<journal>Nonlinear Analysis</journal>
<vol>37</vol>
<year>1999</year>
<page>751-789</page>
<mr>MR1692815</mr>
</article>

</references>
</top_article>
