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Singular integral operators, quantitative flatness, and boundary problems

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Singular integral operators, quantitative flatness, and boundary problemsby Juan Jose Marin ... [et al.].
其他作者:	Marín, Juan Jose.
出版者:	Cham :Springer International Publishing :2022.
面頁冊數:	viii, 601 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Boundary value problems.
電子資源:	https://doi.org/10.1007/978-3-031-08234-4
ISBN:	9783031082344$q(electronic bk.)

Singular integral operators, quantitative flatness, and boundary problems
Singular integral operators, quantitative flatness, and boundary problems[electronic resource] /by Juan Jose Marin ... [et al.]. - Cham :Springer International Publishing :2022. - viii, 601 p. :ill., digital ;24 cm. - Progress in mathematics,v. 3442296-505X ;. - Progress in mathematics ;v.295..

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$q(electronic bk.)

Standard No.: 10.1007/978-3-031-08234-4doiSubjects--Topical Terms:

206979
Boundary value problems.

LC Class. No.: QA379

Dewey Class. No.: 515.35

Singular integral operators, quantitative flatness, and boundary problems
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505 0 $a 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.
520 $a 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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