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GEOMETRIC HARMONIC ANALYSIS IV : boundary layer potentials in uniformly rectifiable domains,... and applications to complex analysis by Dorina Mitrea, Irina Mitrea, Marius Mitrea is a nonfiction available to read on EtoBox.
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Chapter Headings: • 1. Layer Potential Operators on Lebesgue and Sobolev Spaces • 2. Layer Potential Operators on Hardy, BMO, VMO, and Hölder Spaces • 3. Layer Potential Operators on Calderón, Morrey-Campanato, and Morrey Spaces • 4. Layer Potential Operators Acting from Boundary Besov and Triebel-Lizorkin Spaces • 5. Generalized Double Layers in Uniformly Rectifiable Domains • 6. Green Formulas and Layer Potential Operators for the Stokes System • 7. Applications to Analysis in Several Complex Variables • 8. Hardy Spaces for Second-OrderWeakly Elliptic Operators in the Complex PlaneMathematics Subject Classification: 32A Holomorphic functions of several complex variables • 26B20 Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) • 31B Higher-dimensional potential theory • 35J Elliptic equations and elliptic systems • 42B Harmonic analysis in several variablesPresents 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 f
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- Author
- Dorina Mitrea, Irina Mitrea, Marius Mitrea
- Publisher
- Springer, Springer Nature Switzerland AG
- Published
- 2023
- Language
- EN
- ISBN
- 9783031291784
- Category
- nonfiction
- Subjects
- Mathematics, Analysis, Stem
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