التفاصيل البيبلوغرافية
| العنوان: |
Trace Principle for Riesz Potentials on Herz-Type Spaces and Applications |
| المؤلفون: |
Bhat, M. Ashraf, Kosuru, G. Sankara Raju |
| سنة النشر: |
2024 |
| المجموعة: |
Mathematics |
| مصطلحات موضوعية: |
Mathematics - Functional Analysis, 31C15, 26A33, 42B35, 46E35 |
| الوصف: |
We establish trace inequalities for Riesz potentials on Herz-type spaces and discuss the optimality of conditions imposed on specific parameters. We also present some applications in the form of Sobolev-type inequalities, including the Gagliardo-Nirenberg-Sobolev inequality and the fractional integration theorem in the Herz space setting. In addition, we obtain a Sobolev embedding theorem for Herz-type Sobolev spaces. |
| نوع الوثيقة: |
Working Paper |
| URL الوصول: |
http://arxiv.org/abs/2403.05929 |
| رقم الانضمام: |
edsarx.2403.05929 |
| قاعدة البيانات: |
arXiv |