|
|
|
|
| LEADER |
02616nmm a2200385 u 4500 |
| 001 |
EB002091815 |
| 003 |
EBX01000000000000001231907 |
| 005 |
00000000000000.0 |
| 007 |
cr||||||||||||||||||||| |
| 008 |
221004 ||| eng |
| 020 |
|
|
|a 9783031082344
|
| 100 |
1 |
|
|a Marín, Juan José
|
| 245 |
0 |
0 |
|a Singular Integral Operators, Quantitative Flatness, and Boundary Problems
|h Elektronische Ressource
|c by Juan José Marín, José María Martell, Dorina Mitrea, Irina Mitrea, Marius Mitrea
|
| 250 |
|
|
|a 1st ed. 2022
|
| 260 |
|
|
|a Cham
|b Birkhäuser
|c 2022, 2022
|
| 300 |
|
|
|a VIII, 601 p. 5 illus., 3 illus. in color
|b online resource
|
| 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
|
| 653 |
|
|
|a Measure theory
|
| 653 |
|
|
|a Integral equations
|
| 653 |
|
|
|a Potential theory (Mathematics)
|
| 653 |
|
|
|a Measure and Integration
|
| 653 |
|
|
|a Differential Equations
|
| 653 |
|
|
|a Integral Equations
|
| 653 |
|
|
|a Potential Theory
|
| 653 |
|
|
|a Differential equations
|
| 700 |
1 |
|
|a Martell, José María
|e [author]
|
| 700 |
1 |
|
|a Mitrea, Dorina
|e [author]
|
| 700 |
1 |
|
|a Mitrea, Irina
|e [author]
|
| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
|
| 989 |
|
|
|b Springer
|a Springer eBooks 2005-
|
| 490 |
0 |
|
|a Progress in Mathematics
|
| 028 |
5 |
0 |
|a 10.1007/978-3-031-08234-4
|
| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-3-031-08234-4?nosfx=y
|x Verlag
|3 Volltext
|
| 082 |
0 |
|
|a 515.96
|
| 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
|