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| Carleson Type Measures for Harmonic Mixed Norm Spaces with Application to Toeplitz Operators |
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Citation： |
Zhangjian HU,Xiaofen LV.Carleson Type Measures for Harmonic Mixed Norm Spaces with Application to Toeplitz Operators[J].Chinese Annals of Mathematics B,2013,34(4):623~638 |
| Page view： 1733
Net amount： 1266 |
Authors： |
Zhangjian HU; Xiaofen LV; |
Foundation： |
National Natural Science Foundation of China (Nos. 11101139, 11271124),the Natural Science Foundation of Zhejiang Province (Nos. Y6090036, Y6100219) and the Foundationof Creative Group in Universities of Zhejiang Province (No. T200924). |
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| Abstract： |
Let Ω be a bounded domain in Rn with a smooth boundary, and let hp,q be
the space of all harmonic functions with a finite mixed norm. The authors first obtain
an equivalent norm on hp,q, with which the definition of Carleson type measures for hp,q
is obtained. And also, the authors obtain the boundedness of the Bergman projection on
hp,q which turns out the dual space of hp,q. As an application, the authors characterize the
boundedness (and compactness) of Toeplitz operators Tμ on hp,q for those positive finite
Borel measures μ. |
Keywords： |
Carleson type measure, Harmonic mixed norm space, Toeplitz operator,
Bergman projection |
Classification： |
47B35 |
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