Multipliers of Bergman spaces into Lebesgue spaces

Multipliers of Bergman spaces into Lebesgue spaces
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DOI:
10.1017/s001309150001748x
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发表时间:
1986-02
影响因子:
0.7
通讯作者:
D. Luecking
D. Luecking
中科院分区:
数学3区
文献类型:
--
作者:
D. Luecking

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Let U be the open unit disk in the complex plane endowed with normalized Lebesgue measure m. will denote the usual Lebesgue space with respect to m, with 0<p<+∞. The Bergman space consisting of the analytic functions in will be denoted . Let μ be some positivefinite Borel measure on U. It has been known for some time (see [6] and [9]) what conditions on μ are equivalent to the estimate: There is a constant C such that provided 0<p≦q.