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MIMEtype: application/pdf Profile: Linearized PDF PDFMetadata: Objects: 1911 FreeObjects: 627 IncrementalUpdates: 1 DocumentCatalog: PageLayout: SinglePage PageMode: UseOutlines Language: en Outlines: Item: Title: Global smoothness of quasiconformal mappings in the Triebel-Lizorkin scale Destination: matpur3571.title.0:1 Children: Item: Title: 1 Introduction Destination: matpur3571.section.1:2 Children: Item: Title: 1.1 Structure of the paper Destination: matpur3571.subsection.1:12 Item: Title: 2 Preliminaries Destination: matpur3571.section.2:13 Children: Item: Title: 2.1 Notation Destination: matpur3571.subsection.1:14 Item: Title: 2.2 Definitions of function spaces Destination: matpur3571.subsection.2:17 Item: Title: 2.3 Besov domains and auxiliary results on Besov spaces Destination: matpur3571.subsection.3:26 Item: Title: 2.4 Properties of Triebel-Lizorkin spaces Destination: matpur3571.subsection.4:35 Item: Title: 3 Regularity of the Riemann mapping Destination: matpur3571.section.3:44 Item: Title: 4 Quasiconformal mappings on domains Destination: matpur3571.section.4:51 Item: Title: 5 Proof of Theorem 1.5 Destination: matpur3571.section.5:54 Children: Item: Title: 5.1 Proof of Theorem 1.5 modulo key auxiliary results Destination: matpur3571.subsection.1:55 Item: Title: 5.2 Dorronsoro’s betas Destination: matpur3571.subsection.2:57 Item: Title: 5.3 Boundedness of the truncated iterates Destination: matpur3571.subsection.3:69 Item: Title: 5.4 Compactness of the commutator Destination: matpur3571.subsection.4:73 Item: Title: 5.5 Beurling reflection Destination: matpur3571.subsection.5:75 Item: Title: 5.6 Meyer’s polynomials Destination: matpur3571.subsection.6:82 Item: Title: Acknowledgements Destination: matpur3571.section.5:87 Item: Title: Appendix A A universal extension operator Destination: matpur3571.appendix.1:88 Item: Title: References Destination: matpur3571.section.5:92 Info: Title: Global smoothness of quasiconformal mappings in the 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doi:10.1016/j.matpur.2024.04.008 Global smoothness of quasiconformal mappings in the Triebel-Lizorkin scale Kari Astala Martí Prats Eero Saksman Quasiconformal Sobolev Triebel-Lizorkin Beltrami Journal de Mathématiques Pures et Appliquées, 186 (2024) 205–250. 10.1016/j.matpur.2024.04.008 Elsevier Masson SAS journal Journal de Mathématiques Pures et Appliquées © 2024 The Authors. 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