书目名称 | Geometric Harmonic Analysis IV |
副标题 | Boundary Layer Poten |
编辑 | Dorina Mitrea,Irina Mitrea,Marius Mitrea |
视频video | |
概述 | Current theory of layer potentials for elliptic systems in optimal settings for a wealth of function spaces.Detailed account of relevant boundary layer operators for Stokes’ system of hydrostatics in |
丛书名称 | Developments in Mathematics |
图书封面 |  |
描述 | This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for researchers, graduate students, and industry professionals interested in applications of harmonic analysis and geometric measure theory to complex analysis, scattering, and partial differential equations..Traditionally, the label “Calderón-Zygmund theory” has been applied to a distinguished body of works primarily pertaining to the mapping properties of singular integral operators on Lebesgue spaces, in various geometric settings. Volume IV amounts to a versatile Calderón-Zygmund theory for singular integral operators of layer potential type in open sets with uniformly rectifiable boundaries, considered on a diverse range of function spaces. Novel applications to complex analysis in several variables are also explored here.. |
出版日期 | Book 2023 |
关键词 | Divergence theorem; integration by parts; Stokes theorem; singular integral operators; function spaces; b |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-031-29179-1 |
isbn_softcover | 978-3-031-29181-4 |
isbn_ebook | 978-3-031-29179-1Series ISSN 1389-2177 Series E-ISSN 2197-795X |
issn_series | 1389-2177 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |