- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 Multipliers of Dirichlet-type subspaces of Bloch space Bull. Korean Math. Soc. 2020 Vol. 57, No. 2, 429-441 https://doi.org/10.4134/BKMS.b190302Published online November 8, 2019Printed March 31, 2020 Songxiao Li, Zengjian Lou, Conghui Shen Shantou University; Shantou University; Shantou University Abstract : Let $M(X,Y)$ denote the space of multipliers from $X$ to $Y,$ where $X$ and $Y$ are analytic function spaces. As we known, for Dirichlet-type spaces $\mathcal{D}_{\alpha}^p,$ $M(\mathcal{D}^p_{p-1},\mathcal{D}^q_{q-1})=\{0\},$ if $p\neq q,$ $01,$ then $M(\mathcal{D}^p_{p-2+s},\mathcal{D}^q_{q-2+s})=\{0\}.$ However, $X\cap\mathcal{D}^p_{p-1} \subseteq X\cap\mathcal{D}^q_{q-1}$ and $X\cap \mathcal{D}^p_{p-2+s} \subseteq X\cap \mathcal{D}^q_{q-2+s}$ whenever $X$ is a subspace of the Bloch space $\mathcal{B}$ and \$0 Keywords : Multipliers, Carleson measure, Dirichlet-type space, Bloch space MSC numbers : Primary 30H30, 47B38, 32A37 Supported by : The research was supported by the National Natural Science Foundation of China (Nos.11571217, 11720101003, 11871293) and Key Projects of Fundamental Research in Universities of Guangdong Province (No.2018KZDXM034). Downloads: Full-text PDF   Full-text HTML