A NOTE ON A TWO-PARAMETER FAMILY OF OPERATORS ${\MATHCAL A}^{B,C}$ ON WEIGHTED BERGMAN SPACES

In this article, we prove that the two-parameter family of operators Ab,c is bounded on the weighted Bergman spaces B p α+c−1 if α + 2 < p and unbounded if α + 2 = p.

Bibliographic Details
Main Authors: S. Naik, P. K. Nath
Format: Article
Language:English
Published: Petrozavodsk State University 2019-10-01
Series:Проблемы анализа
Subjects:
Online Access:http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=6570&lang=en