Turkish Journal of Mathematics
Abstract
Let \varphi and \psi be holomorphic maps on D such that \varphi ( D ) \subset D . Let C_{\varphi} , M_{\psi} and D be the composition, multiplication and differentiation operators, respectively. In this paper, we consider linear operators induced by products of these operators from Bergman-Nevanlinna spaces A^{\beta}_N to Bloch-type spaces. In fact, we prove that these operators map A^{\beta}_N compactly into Bloch-type spaces if and only if they map A^{\beta}_N boundedly into these spaces.
DOI
10.3906/mat-0806-24
Keywords
Composition operator, Multiplication operator, Differentiation operator, Bergman space, Bloch space, Growth space
First Page
275
Last Page
291
Recommended Citation
SHARMA, AJAY K.
(2011)
"Products of multiplication, composition and differentiation between weighted Bergman-Nevanlinna and Bloch-type spaces,"
Turkish Journal of Mathematics: Vol. 35:
No.
2, Article 9.
https://doi.org/10.3906/mat-0806-24
Available at:
https://journals.tubitak.gov.tr/math/vol35/iss2/9
