Geometric Harmonic Analysis: Function Spaces Measuring Size and Smoothness on Rough Sets (2) - Couverture rigide

Mitrea, Dorina; Mitrea, Irina; Mitrea, Marius

Couverture rigide

ISBN 10 : 3031137175 ISBN 13 : 9783031137174

Editeur : Springer International Publishing AG, 2023

Synopsis

This monograph is part of a larger program, materializing in five volumes, whose principal 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.

Volume II is concerned with function spaces measuring size and/or smoothness, such as Hardy spaces, Besov spaces, Triebel-Lizorkin spaces, Sobolev spaces, Morrey spaces, Morrey-Campanato spaces, spaces of functions of Bounded Mean Oscillations, etc., in general geometric settings. Work here also highlights the close interplay between differentiability properties of functions and singular integral operators. The text is intended for researchers, graduate students, and industry professionals interested in harmonic analysis, functional analysis, geometric measure theory, and function space theory.

A propos du livre

À propos de l'auteur

Dorina Mitrea, Irina Mitrea, Marius Mitrea, and Joel Shapiro are internationally recognized mathematicians with expertise spanning across the fields of Harmonic Analysis, Functional Analysis, and Partial Differential Equations. Dorina Mitrea, Irina Mitrea, and Marius Mitrea are Fellows of the American Mathematical Society and have collaborated extensively over the years. Their joint contributions include over a dozen of original research monographs, notably the comprehensive five-volume series Geometric Harmonic Analysis (Springer), The Hodge-Laplacian, now in its second edition (De Gruyter), Singular Integral Operators, Quantitative Flatness, and Boundary Problems (Birkhauser), Groupoid Metrization Theory (Birkhauser). Their work has significantly impacted harmonic analysis of geometric flavor. Joel Shapiro is a distinguished scholar renowned for his pioneering research in the topological and geometric aspects of functional analysis, particularly composition operators.

À propos de la quatrième de couverture

This monograph is part of a larger program, materializing in five volumes, whose principal 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.

Volume II is concerned with function spaces measuring size and/or smoothness, such as Hardy spaces, Besov spaces, Triebel-Lizorkin spaces, Sobolev spaces, Morrey spaces, Morrey-Campanato spaces, spaces of functions of Bounded Mean Oscillations, etc., in general geometric settings. Work here also highlights the close interplay between differentiability properties of functions and singular integral operators. The text is intended for researchers, graduate students, and industry professionals interested in harmonic analysis, functional analysis, geometric measure theory, and function space theory.

Détails de l'édition

• Éditeur: Springer International Publishing AG
• Date d'édition: 2023
• Langue: anglais
• ISBN 10: 3031137175
• ISBN 13: 9783031137174
• Reliure: Relié
• Nombre de pages: 930
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne