Analytic version of critical QQ spaces and their properties

preprint2014arXivOpen access

Abstract

In this paper, we establish an analytic version of critical spaces Qαβ(Rn)Q_α^β(\mathbb{R}^{n}) on unit disc D\mathbb{D}, denoted by Qpβ(D)Q^β_{p}(\mathbb{D}). Further we prove a relation between Qpβ(D)Q^β_{p}(\mathbb{D}) and Morrey spaces. By the boundedness of two integral operators, we give the multiplier spaces of Qpβ(D)Q^β_{p}(\mathbb{D}).

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