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| Verfasst von: | Marín, Juan José. [VerfasserIn]  |
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| | Martell, José María [VerfasserIn] |
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| | Mitrea, Dorina [VerfasserIn] |
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| | Mitrea, Irina [VerfasserIn] |
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| | Mitrea, Marius [VerfasserIn] |
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| Titel: | Singular Integral Operators, Quantitative Flatness, and Boundary Problems |
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| Verf.angabe: | by Juan José Marín, José María Martell, Dorina Mitrea, Irina Mitrea, Marius Mitrea |
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| Ausgabe: | 1st ed. 2022. |
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| Verlagsort: | Cham |
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| | Cham |
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| Verlag: | Springer International Publishing |
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| | Imprint: Birkhäuser |
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| E-Jahr: | 2022 |
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| Jahr: | 2022. |
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| | 2022. |
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| Umfang: | 1 Online-Ressource(VIII, 601 p. 5 illus., 3 illus. in color.) |
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| Gesamttitel/Reihe: | Progress in Mathematics ; 344 |
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| | Springer eBook Collection |
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| ISBN: | 978-3-031-08234-4 |
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| Abstract: | Introduction -- Geometric Measure Theory -- Calderon-Zygmund Theory for Boundary Layers in UR Domains -- Boundedness and Invertibility of Layer Potential Operators -- Controlling the BMO Semi-Norm of the Unit Normal -- Boundary Value Problems in Muckenhoupt Weighted Spaces -- Singular Integrals and Boundary Problems in Morrey and Block Spaces -- Singular Integrals and Boundary Problems in Weighted Banach Function Spaces. |
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| | This monograph provides a state-of-the-art, self-contained account on the effectiveness of the method of boundary layer potentials in the study of elliptic boundary value problems with boundary data in a multitude of function spaces. Many significant new results are explored in detail, with complete proofs, emphasizing and elaborating on the link between the geometric measure-theoretic features of an underlying surface and the functional analytic properties of singular integral operators defined on it. Graduate students, researchers, and professionals interested in a modern account of the topic of singular integral operators and boundary value problems – as well as those more generally interested in harmonic analysis, PDEs, and geometric analysis – will find this text to be a valuable addition to the mathematical literature. |
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| DOI: | doi:10.1007/978-3-031-08234-4 |
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| URL: | Resolving-System: https://doi.org/10.1007/978-3-031-08234-4 |
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| | DOI: https://doi.org/10.1007/978-3-031-08234-4 |
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| Schlagwörter: | (s)Singulärer Integraloperator / (s)Elliptisches Randwertproblem / (s)Geometrische Maßtheorie / (s)Funktion beschränkter mittlerer Oszillation / (s)Potenzialoperator / (s)Gewichteter Funktionenraum |
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| Datenträger: | Online-Ressource |
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| Sprache: | eng |
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| Bibliogr. Hinweis: | Erscheint auch als : Druck-Ausgabe: Marín, Juan José: Singular integral operators, quantitative flatness, and boundary problems. - Cham, Switzerland : Birkhäuser, 2022. - viii, 601 Seiten |
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| | Erscheint auch als : Druck-Ausgabe |
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| | Erscheint auch als : Druck-Ausgabe |
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| Sach-SW: | Boundary value problems |
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| | Singular integrals |
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| K10plus-PPN: | 1817969471 |
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| Lokale URL UB: |  Zum Volltext |
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Singular Integral Operators, Quantitative Flatness, and Boundary Problems / Marín, Juan José. [VerfasserIn]; 2022. (Online-Ressource)
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