INEQUALITIES OF BERNSTEIN TYPE FOR DERIVATIVES OF RATIONAL FUNCTIONS, AND INVERSE THEOREMS OF RATIONAL APPROXIMATION

INEQUALITIES OF BERNSTEIN TYPE FOR DERIVATIVES OF RATIONAL FUNCTIONS, AND INVERSE THEOREMS OF RATIONAL APPROXIMATION
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有理函数导数的伯恩斯坦型不等式及有理逼近的逆定理

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发表时间:
1985
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通讯作者:
A. Pekarskii
A. Pekarskii
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作者:
A. Pekarskii

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设为圆盘上解析函数的哈代空间,设为外尔意义下的阶导数。例如,它表明,如果是一个有理函数的程度与其所有的极点在域中,那么,其中,,和只取决于和。参考书目:32标题。
Let be the Hardy space of functions that are analytic in the disk and let be the derivative of of order in the sense of Weyl. It is shown, for example, that if is a rational function of degree with all its poles in the domain , then , where , , and depends only on and .Bibliography: 32 titles.