BMO ON STRONGLY PSEUDOCONVEX DOMAINS: HANKEL OPERATORS, DUALITY AND a-ESTIMATES
نویسندگان
چکیده
We study the condition that characterizes the symbols of bounded Hankel operators on the Bergman space of a strongly pseudoconvex domain and show that it is equivalent to BMO plus analytic. (Here we mean the Bergman metric BMO of Berger, Coburn and Zhu.) In the course of the proof we obtain new d -estimates that may be of independent interest. Some applications include a decomposition of BMO similar to the classical L°° + L°° , and two characterizations of the dual of VMO (which is also a predual of BMO). In addition, we obtain some partial results on the boundedness of Hankel operators in L1 norm.
منابع مشابه
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