Geodesic
Some remarks on differential operators in the classes of I.I. Privalov
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 2, pp. 784-791

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In this paper we consider the invariance of Privalov classes with respect to the differentiation operator. We prof a necessary and sufficient condition for the invariance of a plane weighted Privalov classes in the unit disc and we have expanded the indicated results for an any bounded domain on the complex plane.
Keywords: Privalov class, differentiation operator, Whitney decomposition. 
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F. A. Shamoyan; N. M. Makhina. Some remarks on differential operators in the classes of I.I. Privalov. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 2, pp. 784-791. http://geodesic.mathdoc.fr/item/SEMR_2022_19_2_a52/