{"id":33031,"date":"2018-03-09T09:29:58","date_gmt":"2018-03-09T09:29:58","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/boundary-behaviour-of-function-in-hardy-sobolev-spaces\/"},"modified":"2018-03-09T09:29:58","modified_gmt":"2018-03-09T09:29:58","slug":"boundary-behaviour-of-function-in-hardy-sobolev-spaces","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/boundary-behaviour-of-function-in-hardy-sobolev-spaces\/","title":{"rendered":"Boundary behaviour of function in hardy-sobolev spaces."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Jaume Gudayol Torello <\/strong><\/h2>\n<p>El objeto de esta tesis es el estudio de los conjuntos de interpolaci\u00f3n en la frontera para varios espacios de banach de funciones anal\u00edticas definidas en la bola unidad de cn.  consideramos para empezar el caso n=1. Sea &#8212;&#8212;&#8212;&#8211; el disco unidad, y &#8212;&#8212; su frontera. Sea &#8212;&#8212; un cerrado. En este caso, si a(d)=&#8212;&#8212; es el algebra del dicco, diremos que e es un conjunto de intepolaci\u00f3n para a(d) si toda funci\u00f3n &#8212;&#8212; se extiende a una funci\u00f3n &#8212;&#8212;. Carleson y rudin caracterizaron los conjuntos de interpolacion para a(d) como aquellos que tienen medida cero. M\u00e1s tarde, diversos autores emprendieron el estudio de los conjuntos de interpolacion para diversos espacios de funciones, como por ejemplo &#8212;-, los espacios de lipschitz i los espacios de hardy-sobolev.  de manera natural, estos estudios se generalizaron con el objetivo de caracterizar los conjunts d\u00c2\u00bfinterpolaci\u00f3n para \u00e1lgebras de funciones definidas sobre a bola unidad de cn, con n&gt;1. En este caso, sin embargo,no se ha obtenido una caracterizaci\u00f3n ni siquiera para el \u00e1lgebra de las funciones cont\u00ednuas sobre la bola y anal\u00edticas en el interior. La obstrucci\u00f3n que se presenta proviene de la estructura de cauchy-riemann de la frontera de la bola unidad, que es no trivial cuando n&gt;1. La mayor parte de los autores eviten este problema sea considerando varietades totalmente reales, que no tienen estructura de caunchy-riemann de la frontera de la bola unidad, que es no trivial cuando n&gt;1. La mayor parte de los autores eviten este problema sea considerando varietades totalmente reales, que no tienen estructura complexa inducida, sea considerando conjuntos que tienen, en algun sentido, dimensi\u00f3n m\u00e1s peque\u00f1o que 1. En este trabajo hemos intentado acercarnos m\u00e1s el caso general.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Boundary behaviour of function in hardy-sobolev spaces.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Boundary behaviour of function in hardy-sobolev spaces. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Jaume Gudayol Torello <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Barcelona<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 15\/09\/1997<\/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>Joaquin M. Ortega Aramuru<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: joan Verdera melenchon <\/li>\n<li>pascal Thomas (vocal)<\/li>\n<li>Jes\u00fas Mu\u00f1oz d\u00edaz (vocal)<\/li>\n<li>Javier Duoandicoetxea zuazo (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Jaume Gudayol Torello El objeto de esta tesis es el estudio de los conjuntos de interpolaci\u00f3n en [&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":[3183,951,12646,126],"tags":[90468,71590,57415,15067,90469,90470],"class_list":["post-33031","post","type-post","status-publish","format-standard","hentry","category-analisis-y-analisis-funcional","category-barcelona","category-funciones-de-varias-variables-complejas","category-matematicas","tag-jaume-gudayol-torello","tag-javier-duoandicoetxea-zuazo","tag-jesus-munoz-diaz","tag-joan-verdera-melenchon","tag-joaquin-m-ortega-aramuru","tag-pascal-thomas"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/33031","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=33031"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/33031\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=33031"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=33031"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=33031"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}