Geometric Harmonic Analysis IV

Boundary Layer Potentials in Uniformly Rectifiable Domains, and Applications to Complex Analysis

von Dorina Mitrea, Irina Mitrea, Marius Mitrea

992 Seiten, Hardcover

Kurzbeschreibung des Verlags

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.

• Reihe: Developments in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Integralrechnung und -gleichungen
• ISBN: 9783031291784
• Sprache: Englisch
• Erscheinungsdatum: 10.07.2023
• Größe: 23.5 x 15.5 cm
• Verlag: Springer International Publishing