{"id":141026,"date":"2026-01-12T17:59:04","date_gmt":"2026-01-12T17:59:04","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/convergencia-esferica-de-integrales-de-fourier-nuevas-estimaciones-para-el-operador-multiplicador-del-disco\/"},"modified":"2026-01-12T17:59:04","modified_gmt":"2026-01-12T17:59:04","slug":"convergencia-esferica-de-integrales-de-fourier-nuevas-estimaciones-para-el-operador-multiplicador-del-disco","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/convergencia-esferica-de-integrales-de-fourier-nuevas-estimaciones-para-el-operador-multiplicador-del-disco\/","title":{"rendered":"Convergencia esferica de integrales de fourier: nuevas estimaciones para el operador multiplicador del disco."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Elena Romera Colmenarejo <\/strong><\/h2>\n<p>El trabajo se centra en el estudio del multiplicador del disco y del operador maximal de carleson. Del primero se sabe que no hay convergencia en norma lp salvo para p=2, lo cual invita a considerar otros espacios.  para estudiar la convergencia puntual se consideran funciones radiales de lp, p=2n\/(n+1) y p=2n\/(n-1), para las que se demuestra que el operador maximal de carleson es de tipo debil restringido, obteniendose con ello la convergencia.  mas adelante se da respuesta (para pesos radiales) al problema de encontrar el operador que controle las acotaciones l2 con peso del multiplicador del disco, como consecuencia se obtienen acotaciones en norma mixta.  poir ultimo, se obtienen estimaciones vectoriales en el espacio lplq con 2n\/(n+1) menor que p, q menor que 2n\/(n-1) para el operador multiplicador del disco debidamnente interpretado, e incluso la acotacion extremal de tipo debil restringido en los exponentes 2n\/(n+1) y 2n\/(n-1), para lplq.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Convergencia esferica de integrales de fourier: nuevas estimaciones para el operador multiplicador del disco.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Convergencia esferica de integrales de fourier: nuevas estimaciones para el operador multiplicador del disco. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Elena Romera Colmenarejo <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Aut\u00f3noma de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1992<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li> Soria De Diego Fernando<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Antonio Cordoba Barba <\/li>\n<li> Guadalupe Hernandez Jos\u00e9 Javier (vocal)<\/li>\n<li>Javier Duoandikoetxea Zuazo (vocal)<\/li>\n<li> Martin Reyes Fco. Javier (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Elena Romera Colmenarejo El trabajo se centra en el estudio del multiplicador del disco y del operador [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[5924,3183,126],"tags":[6341,255754,111795,68970,255755,14918],"class_list":["post-141026","post","type-post","status-publish","format-standard","hentry","category-analisis-armonico","category-analisis-y-analisis-funcional","category-matematicas","tag-antonio-cordoba-barba","tag-elena-romera-colmenarejo","tag-guadalupe-hernandez-jose-javier","tag-javier-duoandikoetxea-zuazo","tag-martin-reyes-fco-javier","tag-soria-de-diego-fernando"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/141026","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=141026"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/141026\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=141026"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=141026"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=141026"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}