2015
DOI: 10.48550/arxiv.1504.01305
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The pseudoanalytic extensions for some spaces of analytic functions

Guanlong Bao,
Hasi Wulan,
Fangqin Ye

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, BM OA and the Dirichlet space.

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