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Complex Variables, Theory and Application: An International Journal Volume 48, 2003 - Issue 10
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Original Articles

Boundedness of Toeplitz operators and division theorems in spaces Hp(ω)

A.V. Harutyunyan Yerevan State University, Institute of Mathematics, NAS of Armenia
Pages 803-813 | Received 02 Apr 2003, Published online: 12 May 2010
 
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Abstract

The article gives a complete description of those functions h ∈ L 1(Tn ), for which the Toeplitz operator Th (f) is bounded in some weighted spaces Hp (ω) (1<p<+∞) of functions holomorphic in the unit polydisc Un of Cn . Also, a theorem on division by good enough inner functions is established.

Acknowledgements

The author was supported by NFSAT MA070-02/CRDF 12011.

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