تقرير
Weighted Composition Operators Acting on Harmonic Hardy Spaces
العنوان: | Weighted Composition Operators Acting on Harmonic Hardy Spaces |
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المؤلفون: | Hu, Pengyan, Liu, Congwen, Liu, Taishun, Zhou, Lifang |
سنة النشر: | 2017 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Complex Variables, Mathematics - Functional Analysis, Primary 47B33, Secondary 31B05 |
الوصف: | Suppose $n\geq 3$ and let $B$ be the open unit ball in $\mathbb{R}^n$. Let $\varphi: B\to B$ be a $C^2$ map whose Jacobian does not change sign, and let $\psi$ be a $C^2$ function on $B$. We characterize bounded weighted composition operators $W_{\varphi,\psi}$ acting on harmonic Hardy spaces $h^p(B)$. In addition, we compute the operator norm of $W_{\varphi,\psi}$ on $h^p(B)$ when $\varphi$ is a M\"obius transformation of $B$. |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/1708.05225 |
رقم الأكسشن: | edsarx.1708.05225 |
قاعدة البيانات: | arXiv |
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