Singular integral operators, quantitative flatness, and boundary problems / Juan José Marín, José María Martell, Dorina Mitrea, Irina Mitrea, Marius Mitrea.

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...

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Bibliographic Details
Main Authors: Marín, Juan José (Author), Martell, José Maria (Author), Mitrea, Dorina, 1965- (Author), Mitrea, Irina (Author), Mitrea, Marius (Author)
Format: eBook
Language:English
Published: Cham, Switzerland : Birkhäuser, 2022.
Series:Progress in mathematics (Boston, Mass.) ; v. 344.
Subjects:
Online Access:Click for online access

MARC

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100 1 |a Marín, Juan José,  |e author. 
245 1 0 |a Singular integral operators, quantitative flatness, and boundary problems /  |c Juan José Marín, José María Martell, Dorina Mitrea, Irina Mitrea, Marius Mitrea. 
264 1 |a Cham, Switzerland :  |b Birkhäuser,  |c 2022. 
300 |a 1 online resource :  |b illustrations (black and white, and color). 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Progress in mathematics ;  |v volume 344 
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. 
504 |a Includes bibliographical references and indexes. 
588 0 |a Print version record. 
650 0 |a Boundary value problems. 
650 0 |a Singular integrals. 
650 0 7 |a Problemas con valor límite  |2 embucm 
650 0 7 |a Integrales singulares  |2 embucm 
650 7 |a Boundary value problems  |2 fast 
650 7 |a Singular integrals  |2 fast 
700 1 |a Martell, José Maria,  |e author.  |1 https://isni.org/isni/0000000119914134 
700 1 |a Mitrea, Dorina,  |d 1965-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PBJpv7q38fV6GvpykF4MpT3  |1 https://isni.org/isni/0000000110350758 
700 1 |a Mitrea, Irina,  |e author.  |1 https://isni.org/isni/0000000403626797 
700 1 |a Mitrea, Marius,  |e author.  |1 https://isni.org/isni/0000000116450995 
776 0 8 |i Print version:  |a Marín, Juan José.  |t Singular integral operators, quantitative flatness, and boundary problems.  |d Cham : Springer, 2022  |z 9783031082337  |w (OCoLC)1338685675 
830 0 |a Progress in mathematics (Boston, Mass.) ;  |v v. 344. 
856 4 0 |u https://holycross.idm.oclc.org/login?auth=cas&url=https://link.springer.com/10.1007/978-3-031-08234-4  |y Click for online access 
903 |a SPRING-MATH2022 
994 |a 92  |b HCD