{"id":98,"date":"2024-06-01T14:26:00","date_gmt":"2024-06-01T12:26:00","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/mprats\/?p=98"},"modified":"2025-04-13T12:39:19","modified_gmt":"2025-04-13T10:39:19","slug":"kari-astala-marti-prats-and-eero-saksman-global-smoothness-of-quasiconformal-mappings-in-the-triebel-lizorkin-scale","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/mprats\/2024\/06\/01\/kari-astala-marti-prats-and-eero-saksman-global-smoothness-of-quasiconformal-mappings-in-the-triebel-lizorkin-scale\/","title":{"rendered":"Kari Astala, Mart\u00ed Prats and Eero Saksman: Global smoothness of quasiconformal mappings in the Triebel-Lizorkin scale"},"content":{"rendered":"\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/arxiv.org\/abs\/1901.07844\" target=\"_blank\" rel=\"noreferrer noopener\">arXiv<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/doi.org\/10.1016\/j.matpur.2024.04.008\" target=\"_blank\" rel=\"noreferrer noopener\">JMPA<\/a><\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">We give sufficient conditions for quasiconformal mappings between simply connected Lipschitz domains to have H\u00f6lder, Sobolev and Triebel-Lizorkin regularity in terms of the regularity of the boundary of the domains and the regularity of the Beltrami coefficients of the mappings. The results can be understood as a counterpart for the Kellogg-Warchawski Theorem in the context of quasiconformal mappings.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We give sufficient conditions for quasiconformal mappings between simply connected Lipschitz domains to have H\u00f6lder, Sobolev and Triebel-Lizorkin regularity in terms of the regularity of the boundary of the domains and the regularity of the Beltrami coefficients of the mappings. The results can be understood as a counterpart for the Kellogg-Warchawski Theorem in the context &hellip; <a href=\"https:\/\/mat.uab.cat\/web\/mprats\/2024\/06\/01\/kari-astala-marti-prats-and-eero-saksman-global-smoothness-of-quasiconformal-mappings-in-the-triebel-lizorkin-scale\/\" class=\"more-link\">Continua la lectura de <span class=\"screen-reader-text\">Kari Astala, Mart\u00ed Prats and Eero Saksman: Global smoothness of quasiconformal mappings in the Triebel-Lizorkin scale<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":53,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[95],"tags":[39],"class_list":["post-98","post","type-post","status-publish","format-standard","hentry","category-papers-en","tag-papers-en"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/mprats\/wp-json\/wp\/v2\/posts\/98","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mat.uab.cat\/web\/mprats\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mat.uab.cat\/web\/mprats\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/mprats\/wp-json\/wp\/v2\/users\/53"}],"replies":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/mprats\/wp-json\/wp\/v2\/comments?post=98"}],"version-history":[{"count":6,"href":"https:\/\/mat.uab.cat\/web\/mprats\/wp-json\/wp\/v2\/posts\/98\/revisions"}],"predecessor-version":[{"id":443,"href":"https:\/\/mat.uab.cat\/web\/mprats\/wp-json\/wp\/v2\/posts\/98\/revisions\/443"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/mprats\/wp-json\/wp\/v2\/media?parent=98"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/mprats\/wp-json\/wp\/v2\/categories?post=98"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/mprats\/wp-json\/wp\/v2\/tags?post=98"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}