{"id":155534,"date":"2026-01-12T17:21:17","date_gmt":"2026-01-12T17:21:17","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/tecnicas-de-discretizacion-en-analisis-armonico-para-el-estudio-de-acotaciones-debiles-de-operadores-maximales-e-integrales-singulares\/"},"modified":"2026-01-12T17:21:17","modified_gmt":"2026-01-12T17:21:17","slug":"tecnicas-de-discretizacion-en-analisis-armonico-para-el-estudio-de-acotaciones-debiles-de-operadores-maximales-e-integrales-singulares","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/tecnicas-de-discretizacion-en-analisis-armonico-para-el-estudio-de-acotaciones-debiles-de-operadores-maximales-e-integrales-singulares\/","title":{"rendered":"Tecnicas de discretizacion en analisis armonico para el estudio de acotaciones debiles de operadores maximales e integrales singulares."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Menarguez Palanca M. Trinidad <\/strong><\/h2>\n<p>El objeto del trabajo es el estudio de las acotaciones debiles de operadores clasicos en analisis armonico. La tecnica que se ha utilizado fundamentalmente es la observacion de los operadores discretos asociados.  a traves de estos metodos discretos, se obtienen en primer lugar cotas inferiores para las constantes de las desigualdades debiles de operadores maximales. Se presenta tambien una extension del teorema de discretizacion de guzman que, por un lado, elimina la necesidad de una estructura de convolucion para los operadores, y por otro admite el uso de medidas mas generales; lo primero permite considerar operadores integrales con nucleos variables, mientras que lo segundo se utiliza para encontrar caracterizaciones discretizadas de los pesos a1 de los operadores a estudio.  finalmente, se demuestra que la constante de la acotacion debil del operador maximal asociado a un conjunto convexo, simetrico y centrado, es de orden = 0(log n). Utilizando este resultado, se obtiene ademas una demostracion sencilla del teorema de stein-stromberg.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Tecnicas de discretizacion en analisis armonico para el estudio de acotaciones debiles de operadores maximales e integrales singulares.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Tecnicas de discretizacion en analisis armonico para el estudio de acotaciones debiles de operadores maximales e integrales singulares. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Menarguez Palanca M. Trinidad <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Complutense de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1991<\/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: Fernando Bombal Gordon <\/li>\n<li>Javier Duoandikoetxea (vocal)<\/li>\n<li>Baldomero Rubio Segovia (vocal)<\/li>\n<li> Carrillo Quintela M. Teresa (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Menarguez Palanca M. Trinidad El objeto del trabajo es el estudio de las acotaciones debiles de operadores [&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":[5924,3183,986,126,41797],"tags":[6339,24222,4782,269647,269646,14918],"class_list":["post-155534","post","type-post","status-publish","format-standard","hentry","category-analisis-armonico","category-analisis-y-analisis-funcional","category-complutense-de-madrid","category-matematicas","category-transformadas-integrales","tag-baldomero-rubio-segovia","tag-carrillo-quintela-m-teresa","tag-fernando-bombal-gordon","tag-javier-duoandikoetxea","tag-menarguez-palanca-m-trinidad","tag-soria-de-diego-fernando"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/155534","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=155534"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/155534\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=155534"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=155534"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=155534"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}