تقرير
Operator valued analogues of multidimensional Bohr's inequality
| العنوان: | Operator valued analogues of multidimensional Bohr's inequality |
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| المؤلفون: | Allu, Vasudevarao, Halder, Himadri |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis, Mathematics - Complex Variables, 32A05, 32A10, 47A56, 47A63, 30H05 |
| الوصف: | Let $\mathcal{B}(\mathcal{H})$ be the algebra of all bounded linear operators on a complex Hilbert space $\mathcal{H}$. In this paper, we first establish several sharp improved and refined versions of the Bohr's inequality for the functions in the class $H^{\infty}(\mathbb{D},\mathcal{B}(\mathcal{H}))$ of bounded analytic functions from the unit disk $\mathbb{D}:=\{z \in \mathbb{C}:|z|<1\}$ into $\mathcal{B}(\mathcal{H})$. For the complete circular domain $Q \subset \mathbb{C}^n$, we prove the multidimensional analogues of the operator valued Bohr's inequality established by G. Popescu [Adv. Math. 347 (2019), 1002-1053]. Finally, we establish the multidimensional analogues of several improved Bohr's inequalities for operator valued functions in $Q$. Comment: We revise the proof of Lemma 3.1 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2111.11713 |
| رقم الأكسشن: | edsarx.2111.11713 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |