Some remarks on differential operators in the classes of I.I. Privalov

Authors

  • Faizo Shamoyan Saratov State University
  • Natalia Makhina

Keywords:

Privalov class, differentiation operator, Whitney decomposition

Abstract

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.

Published

2023-08-03

Issue

Section

Real, complex and functional analysis