Report
Fredholm index of Toeplitz pairs with $H^{\infty}$ symbols
| العنوان: | Fredholm index of Toeplitz pairs with $H^{\infty}$ symbols |
|---|---|
| المؤلفون: | Wang, Penghui, Zhu, Zeyou |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis, 47A13, 46H25 |
| الوصف: | In the present paper, we characterize the Fredholmness of Toeplitz pairs on Hardy space over the bidisk with the bounded holomorphic symbols, and hence we obtain the index formula for such Toeplitz pairs. The key to obtain the Fredholmness of such Toeplitz pairs is the $L^p$ solution of Corona Problem over $\mathbb{D}^2$. Comment: 12 pages, some typos were corrected, to appear in Can Math Bull |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2410.12313 |
| رقم الانضمام: | edsarx.2410.12313 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |