Application of Hardy Identities and Inequalities on Cartan-Hadamard Manifolds
| المصدر: | مجلة النيل الأبيض للدراسات والبحوث |
|---|---|
| الناشر: | جامعة النيل الأبيض |
| المؤلف الرئيسي: | Abdalla, Alnazeir Abdalla Adam (Author) |
| المجلد/العدد: | ع21 |
| محكمة: | نعم |
| الدولة: |
السودان |
| التاريخ الميلادي: |
2023
|
| الشهر: | مارس |
| الصفحات: | 168 - 201 |
| ISSN: |
1858-6643 |
| رقم MD: | 1547237 |
| نوع المحتوى: | بحوث ومقالات |
| اللغة: | الإنجليزية |
| قواعد المعلومات: | EduSearch, EcoLink |
| مواضيع: | |
| كلمات المؤلف المفتاحية: |
Hardy Inequality | Hardy-Poincare-Sobolev | Cartan-Hadamard Manifold | Hyperbolic Space
|
| رابط المحتوى: |
عدد مرات التحميل
2
| المستخلص: |
We study the Hardy identities and inequalities on Cartan-Hadamard manifolds using the notion of a Bessel pair. These Hardy identities offer significantly more information on the existence/nonexistence of the external functions of the Hardy inequalities. These Hardy inequalities are in the spirit of Brezis-Vázquez in the Euclidean spaces. As an application on the way of [43], we establish several Hardy type inequalities that show improvements as well as simple understandings to many known Hardy inequalities and Hardy-Poincaré-Sobolev type inequalities on hyperbolic spaces in the literature, with a little bite of change. |
|---|---|
| ISSN: |
1858-6643 |
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