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arXiv · 1504.01305

The pseudoanalytic extensions for some spaces of analytic functions

Guanlong Bao·Hasi Wulan·Fangqin Ye
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Abstract

Using the Cauchy-Riemann operator, we characterize $Q_K$ spaces, Besov spaces and analytic Morrey spaces in terms of pseudoanalytic extensions of primitive functions. Our results are also true on some classical Banach spaces, such as the Bloch space, $BMOA$ and the Dirichlet space.

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Guanlong Bao, Hasi Wulan, Fangqin Ye. 2015-04-06. The pseudoanalytic extensions for some spaces of analytic functions. https://arxiv.org/abs/1504.01305

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