Geometric Harmonic Analysis IV Boundary Layer Potentials in Uniformly Rectifiable Domains, and Applications to Complex Analysis /

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 pr...

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Bibliografiset tiedot
Päätekijät: Mitrea, Dorina (Tekijä), Mitrea, Irina (Tekijä), Mitrea, Marius (Tekijä)
Yhteisötekijä: SpringerLink (Online service)
Aineistotyyppi: Elektroninen E-kirja
Kieli:englanti
Julkaistu: Cham : Springer International Publishing : Imprint: Springer, 2023.
Painos:1st ed. 2023.
Sarja:Developments in Mathematics, 75
Aiheet:
Linkit:https://doi.org/10.1007/978-3-031-29179-1
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Sisällysluettelo:
  • Introduction and Statement of Main Results Concerning the Divergence Theorem
  • Examples, Counterexamples, and Additional Perspectives
  • Tools from Geometric Measure Theory, Harmonic Analysis, and functional Analysis
  • Open Sets with Locally Finite Surface Measures and Boundary Behavior
  • Proofs of the Main Results Pertaining to the Divergence Theorem
  • Applications to Singular Integrals, Function Spaces, Boundary Problems, and Further Results.