Addendum to the Paper “A note on Weighted bergman Spaces and the cesaro operator”
2005 ◽
Vol 180
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pp. 77-90
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Keyword(s):
AbstractLet H(Dn) be the space of holomorphic functions on the unit polydisk Dn, and let , where p, q> 0, α = (α1,…,αn) with αj > -1, j =1,..., n, be the class of all measurable functions f defined on Dn such thatwhere Mp(f,r) denote the p-integral means of the function f. Denote the weighted Bergman space on . We provide a characterization for a function f being in . Using the characterization we prove the following result: Let p> 1, then the Cesàro operator is bounded on the space .
1982 ◽
Vol 34
(4)
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pp. 910-915
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2011 ◽
Vol 85
(2)
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pp. 307-314
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Keyword(s):
2009 ◽
Vol 7
(3)
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pp. 225-240
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1990 ◽
Vol 42
(3)
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pp. 417-425
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2004 ◽
Vol 2004
(41)
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pp. 2199-2203
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2000 ◽
Vol 159
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pp. 25-43
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Keyword(s):
2017 ◽
Vol 60
(3)
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pp. 513-525
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