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Riemann-Stieltjes operators between Bergman-type spaces and α-Bloch spaces

Authors :
Songxiao Li
Source :
International Journal of Mathematics and Mathematical Sciences, Vol 2006 (2006)
Publication Year :
2006
Publisher :
Hindawi Publishing Corporation, 2006.

Abstract

We study the following integral operators:Jgf(z)=∫0zf(ξ)g′(ξ)dξ;Igf(z)=∫0zf′(ξ)g(ξ)dξ, wheregis an analytic function on the open unit disk in the complex plane. The boundedness and compactness ofJg,Igbetween the Bergman-type spaces and theα-Bloch spaces are investigated.

Subjects

Subjects :
Pure mathematics
Mathematics (miscellaneous)
Compact space
lcsh:Mathematics
Mathematical analysis
Riemann–Stieltjes integral
Type (model theory)
lcsh:QA1-939
Unit disk
Complex plane
Mathematics
Analytic function

Details

Language :
English
ISSN :
01611712
Database :
OpenAIRE
Journal :
International Journal of Mathematics and Mathematical Sciences
Accession number :
edsair.doi.dedup.....ccb36ec5f1b5b7225ae55379789e0f2e
Full Text :
https://doi.org/10.1155/IJMMS/2006/86259
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