<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title>Weighted estimates in a limited range with applications to the Bochner-Riesz operators</dc:title>
<dc:creator>Maria Carro</dc:creator><dc:creator>Javier Duoandikoetxea</dc:creator><dc:creator>Maria Lorente</dc:creator>
<dc:subject>42B15</dc:subject><dc:subject>42B25</dc:subject><dc:subject>42B35</dc:subject><dc:subject>46E30</dc:subject><dc:subject>Bochner-Riesz</dc:subject><dc:subject>extrapolation of weights</dc:subject><dc:subject>distribution estimates</dc:subject><dc:subject>Lorentz spaces</dc:subject><dc:subject>two weight estimates</dc:subject>
<dc:description>From weighted inequalities for weights in subsets of $A_p$ classes, we deduce two kinds of weighted estimates, from $L^p(u)$ to $L^{q,\infty}(v)$ and from the weighted Lorentz space $\Lambda^p(w)$ to $\Lambda^{p,\infty}(w)$. The applications include the Bochner-Riesz operators and some others. We also consider the results in the case of one-sided operators.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2012</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2012.61.4723</dc:identifier>
<dc:source>10.1512/iumj.2012.61.4723</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 61 (2012) 1485 - 1511</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>