Singular integral operators, quantitative flatness, and boundary problems
著者
書誌事項
Singular integral operators, quantitative flatness, and boundary problems
（Progress in mathematics, v. 344）
Birkhäuser, c2022
- : [hbk.]
大学図書館所蔵 件 / 全26件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Other authors: José María Martell, Dorina Mitrea, Irina Mitrea, Marius Mitrea
Includes bibliographical references (p. 587-593) and indexes
内容説明・目次
内容説明
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.
目次
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.
「Nielsen BookData」 より