%0 Journal Article
%T Analytic version of critical $Q$ spaces and their properties
%A Pengtao Li
%A Junming Liu
%A Zengjian Lou
%J Mathematics
%D 2014
%I arXiv
%X In this paper, we establish an analytic version of critical spaces $Q_{\alpha}^{\beta}(\mathbb{R}^{n})$ on unit disc $\mathbb{D}$, denoted by $Q^{\beta}_{p}(\mathbb{D})$. Further we prove a relation between $Q^{\beta}_{p}(\mathbb{D})$ and Morrey spaces. By the boundedness of two integral operators, we give the multiplier spaces of $Q^{\beta}_{p}(\mathbb{D})$.
%U http://arxiv.org/abs/1406.1299v1