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New interpolation theorems related to the space BMOA on spaces of homogeneous type

Published online by Cambridge University Press:  17 April 2009

Qi-Hui Zhang  and
Da-Ping Ni
Qi-Hui Zhang
Affiliation:
Department of Applied Mathematics, University of Information Engineering, PO Box 1001–747, Zhengzhou 450002, People's Republic of China, e-mail: z_qihui@yahoo.com.cn
Da-Ping Ni
Affiliation:
Department of Applied Mathematics, University of Information Engineering, PO Box 1001–747, Zhengzhou 450002, People's Republic of China, e-mail: z_qihui@yahoo.com.cn
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Let (χ, d, μ) be a space of homogeneous type in the sense of Coifman and Weiss, and BMOA(χ) be the space of BMO type associated with an “approximation to the identity” {At}t>0 and introduced by Duong and Yan. In this paper, we establish new interpolation theorems of operators related to the space BMOA(χ).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 74 , Issue 3 , December 2006 , pp. 347 - 358
Copyright
Copyright © Australian Mathematical Society 2006

References

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