{"id":64259,"date":"2018-03-09T22:52:15","date_gmt":"2018-03-09T22:52:15","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/transference-theory-between-quasi-banach-function-spaces-with-applications-to-the-restriction-of-fourier-multipliers\/"},"modified":"2018-03-09T22:52:15","modified_gmt":"2018-03-09T22:52:15","slug":"transference-theory-between-quasi-banach-function-spaces-with-applications-to-the-restriction-of-fourier-multipliers","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/barcelona\/transference-theory-between-quasi-banach-function-spaces-with-applications-to-the-restriction-of-fourier-multipliers\/","title":{"rendered":"Transference theory between quasi-banach function spaces with applications to the restriction of fourier multipliers"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Salvador Rodr\u00edguez L\u00f3pez <\/strong><\/h2>\n<p>En \u00e9sta tesis se estudian t\u00e9cnica de transferencia para operadores de convoluci\u00f3n definidos sobre espacios de funciones, desarroll\u00e1ndose principalmente dos t\u00e9cnicas. el cap\u00edtulo 2 contiene definiciones, notaciones y resultados preliminares. Se divide en tres partes diferentes: espacios cuasinormados, grupos topol\u00f3gicos y aproximaci\u00f3n de multiplicadores de fourier. los principales resultados se encuentran en los cap\u00edtulos 3 y 4. En el primero de ellos se presentan resultados abstractos de transferencia usando ciertos espacios de amalgamas. \u00e9sta aproximaci\u00f3n resulta ser muy \u00fatil para obtener resultados de tipo deleeuw, sobre resticci\u00f3n de multiplicadores de fourier, en espacios invariantes por reordenaci\u00f3n. En particular, se obtienen resultados de restricci\u00f3n en espacios generales de lorentz con peso $lambda^p(w)$ y espacios de orlicz tales como $l (log l)^2$. La segunda t\u00e9cnica, desarrollada en el cap\u00edtulo 4 se aplica en el contexto de los espacios de lebesgue con pesos, y resulta ser especialmente \u00fatil para obtener resultados restricci\u00f3n de multiplicadores para espacios con pesos para pesos en la clase $a_p$ de muckenhoupt. el cap\u00edtulo 5 trata de cuatro cuestiones sobre transferencia. En la primera secci\u00f3n, extendemos la t\u00e9cnica del cap\u00edtulo 2 al contexto bilineal. Al igual que en el caso lineal obtenemos resultados de tipo deleeuw, sobre restricci\u00f3n de multiplicadores de fourier en espacios invariantes por reordenaci\u00f3n. En particular, se obtienen resultados de restricci\u00f3n para multiplicadores bilineales actuando sobre espacios de lorentz-zygmund del tipo $l^(p, q) ( log l)^alpha $, extendiendo los resultados de o. Blasco y f. Villarroya en espacios de lorentz. la segunda secci\u00f3n contiene resultados de transferencia para operadores de convoluci\u00f3n que satisface una cierta desigualdad modular. Se obtiene resultados de restricci\u00f3n de multiplicadores en \u00e9ste contexto. En la tercera parte se consiguen resultados de restricci\u00f3n de multiplicadores para los  que se satisface una desigualdad de tipo extrapolaci\u00f3n. Finalmente, en la \u00faltima secci\u00f3n desarrollamos una t\u00e9cnica para la transferencia de acotaciones de tipo d\u00e9bil para operadores de convoluci\u00f3n en el contexto de los espacios de lebesgue con pesos.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Transference theory between quasi-banach function spaces with applications to the restriction of fourier multipliers<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Transference theory between quasi-banach function spaces with applications to the restriction of fourier multipliers <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Salvador Rodr\u00edguez L\u00f3pez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Barcelona<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 28\/04\/2008<\/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>M. Jes\u00fas Carro Rossell<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: joan llu\u00eds Cerd\u00ed\u00a0 mart\u00edn <\/li>\n<li>leonardo Colzani (vocal)<\/li>\n<li>oscar Blasco de la cruz (vocal)<\/li>\n<li>alastair Gillespie (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Salvador Rodr\u00edguez L\u00f3pez En \u00e9sta tesis se estudian t\u00e9cnica de transferencia para operadores de convoluci\u00f3n definidos sobre [&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":[5924,951,41797],"tags":[141818,14917,141817,71591,28928,141816],"class_list":["post-64259","post","type-post","status-publish","format-standard","hentry","category-analisis-armonico","category-barcelona","category-transformadas-integrales","tag-alastair-gillespie","tag-joan-lluis-cerdi-martin","tag-leonardo-colzani","tag-m-jesus-carro-rossell","tag-oscar-blasco-de-la-cruz","tag-salvador-rodriguez-lopez"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/64259","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=64259"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/64259\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=64259"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=64259"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=64259"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}