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Singular Integral Operators, Quantitative Flatness, and Boundary Problems
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Singular Integral Operators, Quantitative Flatness, and Boundary Problems/ by Juan José Marín, José María Martell, Dorina Mitrea, Irina Mitrea, Marius Mitrea.
作者:
Marín, Juan José.
其他作者:
Mitrea, Marius.
面頁冊數:
VIII, 601 p. 5 illus., 3 illus. in color.online resource. :
Contained By:
Springer Nature eBook
標題:
Measure and Integration. -
電子資源:
https://doi.org/10.1007/978-3-031-08234-4
ISBN:
9783031082344
Singular Integral Operators, Quantitative Flatness, and Boundary Problems
Marín, Juan José.
Singular Integral Operators, Quantitative Flatness, and Boundary Problems
[electronic resource] /by Juan José Marín, José María Martell, Dorina Mitrea, Irina Mitrea, Marius Mitrea. - 1st ed. 2022. - VIII, 601 p. 5 illus., 3 illus. in color.online resource. - Progress in Mathematics,3442296-505X ;. - Progress in Mathematics,312.
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.
ISBN: 9783031082344
Standard No.: 10.1007/978-3-031-08234-4doiSubjects--Topical Terms:
672015
Measure and Integration.
LC Class. No.: QA404.7-405
Dewey Class. No.: 515.96
Singular Integral Operators, Quantitative Flatness, and Boundary Problems
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