تقرير
Interpolation on Convex-set Valued Lebesgue Spaces and its Applications
| العنوان: | Interpolation on Convex-set Valued Lebesgue Spaces and its Applications |
|---|---|
| المؤلفون: | Zhang, Yuxun, Zhou, Jiang |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis, 26E25, 42B25, 42B35 |
| الوصف: | In this paper, we obtain two interpolation theorems on convex-set valued Lebesgue spaces, which generalize the Marcinkiewicz interpolation theorem and Riesz-Thorin interpolation theorem on classical Lebesgue spaces, respectively. As applications, we obtain the boundedness of convex-set valued fractional averaging operators and fractional maximal operators, and prove the reverse factorization property of matrix weights. Comment: arXiv admin note: text overlap with arXiv:2210.09443 by other authors |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2401.00398 |
| رقم الأكسشن: | edsarx.2401.00398 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |