<?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>S1409-24332019000100021</article-id>
<article-id pub-id-type="doi">10.15517/rmta.v26i1.35516</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Characterization of bmo using wavelets through triebellizorkin spaces]]></article-title>
<article-title xml:lang="es"><![CDATA[Caracterización de bmo usando ondículas por medio del espacio de triebel-lizorkin]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Hernández Hernández]]></surname>
<given-names><![CDATA[Jorge Eliécer]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Centroccidental Lisandro Alvarado Departamento de Técnicas Cuantitativas, Decanato de Ciencias Económicas y Empresa- riales ]]></institution>
<addr-line><![CDATA[ Barquisimeto]]></addr-line>
<country>Venezuela</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2019</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2019</year>
</pub-date>
<volume>26</volume>
<numero>1</numero>
<fpage>21</fpage>
<lpage>44</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_arttext&amp;pid=S1409-24332019000100021&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_abstract&amp;pid=S1409-24332019000100021&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_pdf&amp;pid=S1409-24332019000100021&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract [11] In the present article it is presented a characterization of all those func- tions in the space of bounded mean oscillation functions, BM O, in terms of an appropriate wavelet, using an isomorphism between the aforemen- tioned space and the homogeneous space of Triebel-Lizorkin F&#729; 0,2. In ad- dition, a new inequality that involves the vector inequality of the maximal function of Hardy-Littlewood is proved.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen [15] En el presente artículo se presenta una caracterización de todas aque- llas funciones pertenecientes al espacio de oscilación media acotada, BM O, en términos de una apropiada ondícula, usando un isomorfismo entre el mencionado espacio de funciones y el espacio homogéneo de Triebel-Lizorkin F&#729; 0,2. Además, se prueba una versión nueva que involucra la desigualdad v&#8734;ectorial de la función maximal de Hardy-Littlewood.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[BMO function space]]></kwd>
<kwd lng="en"><![CDATA[Triebel-Lizorkin&#8217;s homogeneous space]]></kwd>
<kwd lng="en"><![CDATA[wavelets]]></kwd>
<kwd lng="es"><![CDATA[espacio de funciones de oscilación media acotada]]></kwd>
<kwd lng="es"><![CDATA[espacio homogéneo de Triebel-Lizorkin]]></kwd>
<kwd lng="es"><![CDATA[ondículas]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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