The pseudoanalytic extensions for some spaces of analytic functions
classification
🧮 math.CV
keywords
spacesanalyticextensionsfunctionspseudoanalyticsomespacebanach
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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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