{"id":113,"date":"2024-01-01T14:33:00","date_gmt":"2024-01-01T12:33:00","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/mprats\/?p=113"},"modified":"2024-02-08T13:42:45","modified_gmt":"2024-02-08T11:42:45","slug":"marti-prats-triebel-lizorkin-regularity-and-bi-lipschitz-maps-composition-operator-and-inverse-function-regularity","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/mprats\/2024\/01\/01\/marti-prats-triebel-lizorkin-regularity-and-bi-lipschitz-maps-composition-operator-and-inverse-function-regularity\/","title":{"rendered":"Mart\u00ed Prats: Triebel-Lizorkin regularity and bi-Lipschitz maps: composition operator and inverse function regularity"},"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\/2007.10070\" 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.jat.2023.105985\" target=\"_blank\" rel=\"noreferrer noopener\">J. Approx. Theory<\/a><\/div>\n<\/div>\n\n\n\n<p>We study the stability of Triebel-Lizorkin regularity of bounded functions and Lipschitz functions under bi-Lipschitz changes of variables and the regularity of the inverse function of a Triebel-Lizorkin bi-Lipschitz map in Lipschitz domains. To obtain our results we provide an equivalent norm for the Triebel-Lizorkin spaces with fractional smoothness in uniform domains in terms of the first-order difference of the last weak derivative available averaged on balls.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We study the stability of Triebel-Lizorkin regularity of bounded functions and Lipschitz functions under bi-Lipschitz changes of variables and the regularity of the inverse function of a Triebel-Lizorkin bi-Lipschitz map in Lipschitz domains. To obtain our results we provide an equivalent norm for the Triebel-Lizorkin spaces with fractional smoothness in uniform domains in terms of &hellip; <a href=\"https:\/\/mat.uab.cat\/web\/mprats\/2024\/01\/01\/marti-prats-triebel-lizorkin-regularity-and-bi-lipschitz-maps-composition-operator-and-inverse-function-regularity\/\" class=\"more-link\">Continua la lectura de <span class=\"screen-reader-text\">Mart\u00ed Prats: Triebel-Lizorkin regularity and bi-Lipschitz maps: composition operator and inverse function regularity<\/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-113","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\/113","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=113"}],"version-history":[{"count":7,"href":"https:\/\/mat.uab.cat\/web\/mprats\/wp-json\/wp\/v2\/posts\/113\/revisions"}],"predecessor-version":[{"id":392,"href":"https:\/\/mat.uab.cat\/web\/mprats\/wp-json\/wp\/v2\/posts\/113\/revisions\/392"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/mprats\/wp-json\/wp\/v2\/media?parent=113"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/mprats\/wp-json\/wp\/v2\/categories?post=113"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/mprats\/wp-json\/wp\/v2\/tags?post=113"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}