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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Singular Integrals, Herz-Type Function Spaces, and Boundary Problems

Singular Integrals, Herz-Type Function Spaces, and Boundary Problems

Takemura, Pedro
Mitrea, Marius

Hardcover

Series: Progress in Mathematics, Book 362

General Mathematics

Currently unavailable to order

ISBN10: 3032125154
ISBN13: 9783032125156
Publisher: Birkhauser
Published: Jan 3 2026
Pages: 691
Weight: 2.49
Height: 1.68 Width: 6.48 Depth: 9.37
Language: English
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.

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