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The Cesáro Operator is Bounded on SP for 0<p<1

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Author:
No author available
Journal Title:
JOURNAL OF BIOMATHEMATICS
Issue:
3
DOI:
10.3969/j.issn.1001-9626.1998.03.004
Key Word:
SP空间 Ces(a)ro算子

Abstract: 对0<p<1,记SP为具有HP导数的解析函数空间,即SP={f:f∈H(D),f′∈HP},定义f的SP范数为f P = |f(0)| + ‖f′‖P.本文证明了SP(0<p<1)上的Ces(a)ro算子的有界性.

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