Abstract
We use Young’s functions to define the Korenblum-Orlicz spaces as a generalization of the Korenblum spaces and we establish some of its properties. We show that the norm of the conformal maps in Korenblum-Orlicz spaces can be dominated by a certain expression involving the supremum over the inverse image of certain sectors. This extend a result of J. Ramos Fernández in (C. R. Math. Acad. Sci. Paris, 344(5):291–294, 2007) for α-Bloch spaces.
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Castillo, R.E., Ramos Fernández, J.C. Estimating the norm of conformal maps in Korenblum-Orlicz spaces. Rend. Circ. Mat. Palermo 60, 385–393 (2011). https://doi.org/10.1007/s12215-011-0059-x
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DOI: https://doi.org/10.1007/s12215-011-0059-x