Singular integral operators, quantitative flatness, and boundary problems / Juan José Marín, José María Martell, Dorina Mitrea, Irina Mitrea, Marius Mitrea.
Marín, Juan José, author.; Martell, José Maria, author.; Mitrea, Dorina, 1965- author.; Mitrea, Irina, author.; Mitrea, Marius, author.
2022
QA379
Available Online

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Title Singular integral operators, quantitative flatness, and boundary problems / Juan José Marín, José María Martell, Dorina Mitrea, Irina Mitrea, Marius Mitrea.
Author Marín, Juan José, author.
ISBN 9783031082344 (electronic bk.)
3031082346 (electronic bk.)
9783031082337
3031082338
DOI https://doi.org/10.1007/978-3-031-08234-4
Published Cham, Switzerland : Birkhäuser, 2022.
Language English
Description 1 online resource : illustrations (black and white, and color).
Item Number 10.1007/978-3-031-08234-4 doi
Call Number QA379
Dewey Decimal Classification 515/.35
Summary 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.
Bibliography, etc. Note Includes bibliographical references and indexes.
Access Note Access limited to authorized users.
Source of Description Description based on print version record.
Added Author Martell, José Maria, author.
Mitrea, Dorina, 1965- author.
Mitrea, Irina, author.
Mitrea, Marius, author.
Series Progress in mathematics (Boston, Mass.) ; v. 344.
Available in Other Form Singular integral operators, quantitative flatness, and boundary problems.
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All Resources
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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