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 Characterizations for the Fock-type spaces Bull. Korean Math. Soc. 2019 Vol. 56, No. 3, 745-756 https://doi.org/10.4134/BKMS.b180540Published online May 31, 2019 Hong Rae Cho, Jeong Min Ha, Kyesook Nam Pusan National University; Pusan National University; Seoul National University 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 $F_{2, \alpha,t}^{p}$. Keywords : Fock-type space, Lipschitz condition, double integral condition MSC numbers : 32A37, 30H20 Downloads: Full-text PDF   Full-text HTML