<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>1409-2433</journal-id>
<journal-title><![CDATA[Revista de Matemática Teoría y Aplicaciones]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. Mat]]></abbrev-journal-title>
<issn>1409-2433</issn>
<publisher>
<publisher-name><![CDATA[Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica.]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1409-24332017000200227</article-id>
<article-id pub-id-type="doi">10.15517/rmta.v24i2.29859</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Sobre el teorema de fubini para conjuntos de medida cero en medidas vectoriales]]></article-title>
<article-title xml:lang="en"><![CDATA[On fubini&#8217;s theorem for null sets in vector measures]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Montilla]]></surname>
<given-names><![CDATA[Armando]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad de Los Andes  ]]></institution>
<addr-line><![CDATA[ Trujillo]]></addr-line>
<country>VE</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2017</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2017</year>
</pub-date>
<volume>24</volume>
<numero>2</numero>
<fpage>227</fpage>
<lpage>238</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_arttext&amp;pid=S1409-24332017000200227&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_abstract&amp;pid=S1409-24332017000200227&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_pdf&amp;pid=S1409-24332017000200227&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[ResumenEn este artículo presentamos una versión del Teorema de Fubini para conjuntos de medida cero en el contexto de medidas vectoriales, en el estilo de la demostración clásica para conjuntos del plano euclidiano; a saber: Sean X y Y espacios topológicos de Hausdorff localmente compactos y, µ y &#957; medidas vectoriales regulares de variación acotada en las &#963;-álgebras de Baire B0(X) y B0(Y ), respectivamente. Si A C X (Y , entonces | µ (&#957; | (A) = 0 si sólo si| µ | {x EX: Ax no es de medida cero} = 0, donde Ax = {y E Y: (x,y) E A}.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[AbstractIn this paper we prove a version of Fubini&#8217;s Theorem for null sets in the context of vector measures, in the spirit of the classical proof for sets in the Euclidean plane, namely: Let X and Y be locally compact Hausdorff topological spaces and let µ and &#957;be regular vector measures on the Baire &#963;-algebras B0(X) and B0(Y ), respectively. If A C X x Y , then | µ ( &#957;| (A) = 0 if and only if| µ | ({x E X: Ax is not a null set}) = 0, where Ax = {y E Y: (x,y) E A}.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[medida vectorial]]></kwd>
<kwd lng="es"><![CDATA[medida cero]]></kwd>
<kwd lng="es"><![CDATA[medida producto]]></kwd>
<kwd lng="es"><![CDATA[teorema de Fubini]]></kwd>
<kwd lng="en"><![CDATA[vector measure]]></kwd>
<kwd lng="en"><![CDATA[zero measure]]></kwd>
<kwd lng="en"><![CDATA[product measure]]></kwd>
<kwd lng="en"><![CDATA[Fubini&#8217;s theorem]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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