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＜電子ブック＞
Singular Integral Operators, Quantitative Flatness, and Boundary Problems / by Juan José Marín, José María Martell, Dorina Mitrea, Irina Mitrea, Marius Mitrea
(Progress in Mathematics. ISSN:2296505X ; 344)

版	1st ed. 2022.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2022
大きさ	VIII, 601 p. 5 illus., 3 illus. in color : online resource
著者標目	*Marín, Juan José author Martell, José María author Mitrea, Dorina author Mitrea, Irina author Mitrea, Marius author SpringerLink (Online service)
件　名	LCSH:Potential theory (Mathematics) LCSH:Integral equations LCSH:Differential equations LCSH:Measure theory FREE:Potential Theory FREE:Integral Equations FREE:Differential Equations FREE:Measure and Integration
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-031-08234-4

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