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arXiv · 1406.1299

Analytic version of critical $Q$ spaces and their properties

Pengtao Li·Junming Liu·Zengjian Lou
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Abstract

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

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Pengtao Li, Junming Liu, Zengjian Lou. 2014-06-05. Analytic version of critical $Q$ spaces and their properties. https://arxiv.org/abs/1406.1299

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