Characterizations for the Fock-type spaces
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초록
We obtain Lipschitz type characterization and double integral characterization for Fock-type spaces with the norm \begin{align*} \|f\|_{F_{m, \alpha,t}^{p}}^{p}=\incn \left| f(z)e^{-\alpha|z|^m} \right|^p\,\frac{dV(z)}{(1+|z|)^{t}}, \end{align*} where $\alpha>0$, $t\in \R$, and $m\in\mathbb{N}$. The results of this paper are the extensions of the classical weighted Fock space $F_{2, \alpha,t}^{p}$.
Abstract
We obtain Lipschitz type characterization and double integral characterization for Fock-type spaces with the norm \begin{align*} \|f\|_{F_{m, \alpha,t}^{p}}^{p}=\incn \left| f(z)e^{-\alpha|z|^m} \right|^p\,\frac{dV(z)}{(1+|z|)^{t}}, \end{align*} where $\alpha>0$, $t\in \R$, and $m\in\mathbb{N}$. The results of this paper are the extensions of the classical weighted Fock space $F_{2, \alpha,t}^{p}$.
참고문헌 (6)
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- K. Zhu, "Analysis on Fock Spaces" (2012), Springer