On an integral operator on the unit ball in <inline-formula><graphic file="1029-242X-2005-434806-i1.gif"/></inline-formula>
<p/> <p>Let <inline-formula><graphic file="1029-242X-2005-434806-i2.gif"/></inline-formula> denote the space of all holomorphic functions on the unit ball <inline-formula><graphic file="1029-242X-2005-434806-i3.gif"/></inline-formula&g...
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2005-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2005/434806 |
| Summary: | <p/> <p>Let <inline-formula><graphic file="1029-242X-2005-434806-i2.gif"/></inline-formula> denote the space of all holomorphic functions on the unit ball <inline-formula><graphic file="1029-242X-2005-434806-i3.gif"/></inline-formula>. In this paper, we investigate the integral operator <inline-formula><graphic file="1029-242X-2005-434806-i4.gif"/></inline-formula>, <inline-formula><graphic file="1029-242X-2005-434806-i5.gif"/></inline-formula>, <inline-formula><graphic file="1029-242X-2005-434806-i6.gif"/></inline-formula>, where <inline-formula><graphic file="1029-242X-2005-434806-i7.gif"/></inline-formula> and <inline-formula><graphic file="1029-242X-2005-434806-i8.gif"/></inline-formula> is the radial derivative of <inline-formula><graphic file="1029-242X-2005-434806-i9.gif"/></inline-formula>. The operator can be considered as an extension of the Cesàro operator on the unit disk. The boundedness of the operator on <inline-formula><graphic file="1029-242X-2005-434806-i10.gif"/></inline-formula>-Bloch spaces is considered.</p> |
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| ISSN: | 1025-5834 1029-242X |