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Book synopsis

This monograph presents state-of-the-art results at the intersection of Harmonic Analysis, Functional Analysis, Geometric Measure Theory, and Partial Differential Equations, providing tools for treating elliptic boundary value problems for systems of PDE s in rough domains. Largely self-contained, it develops a comprehensive Calderón-Zygmund theory for singular integral operators on many Herz-type spaces, and their associated Hardy and Sobolev spaces, in the optimal geometric-measure theoretic setting of uniformly rectifiable sets. The present work highlights the effectiveness of boundary layer potential methods as a means of establishing well-posedness results for a wide family of boundary value problems, including Dirichlet, Neumann, Regularity, and Transmission Problems. Graduate students, researchers, and professional mathematicians interested in harmonic analysis and boundary problems will find this monograph a valuable resource in the field.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Singular Integrals, Herz-type Function Spaces, and Boundary Problems
• Author: Marius Mitrea, Pedro Takemura
• Language: English
• Binding: Hardback
• Number of pages: 691
• EAN: 9783032125156
• ID: 49976362
• Publisher: Springer, Berlin
• Weight: 1207 g
• Dimensions: 235 × 155 mm
• Date of publishing: 31. March 2026

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