Geometric Harmonic Analysis V Fredholm Theory and Finer Estimates for Integral Operators, with Applications to Boundary Problems /

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...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Mitrea, Dorina (مؤلف), Mitrea, Irina (مؤلف), Mitrea, Marius (مؤلف)
مؤلف مشترك: SpringerLink (Online service)
التنسيق: الكتروني كتاب الكتروني
اللغة:الإنجليزية
منشور في: Cham : Springer International Publishing : Imprint: Springer, 2023.
الطبعة:1st ed. 2023.
سلاسل:Developments in Mathematics, 76
الموضوعات:
الوصول للمادة أونلاين:https://doi.org/10.1007/978-3-031-31561-9
الوسوم: إضافة وسم
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جدول المحتويات:
  • 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.