Analytic version of critical $Q$ spaces and their properties

Abstract

In this paper, we establish an analytic version of critical spaces $Q_{\alpha }^{\beta }({\mathbb{R}}^n)$ on unit disc $\mathbb{D}$, denoted by $Q_p^{\beta }(\mathbb{D})$. Further we prove a relation between $Q_p^{\beta }(\mathbb{D})$ and Morrey spaces. By the boundedness of two integral operators, we give the multiplier spaces of $Q_p^{\beta }(\mathbb{D})$.

References in corpus (1)

• Some Closed Range Integral Operators On Spaces of Analytic Functions