SOME PROPERTIES OF INTERPOLATING BASIC FUNCTIONS IN THE UNIT DISK

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Shen Xiechang.SOME PROPERTIES OF INTERPOLATING BASIC FUNCTIONS IN THE UNIT DISK[J].Chinese Annals of Mathematics B,1988,9(3):339~350
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Authors:

Shen Xiechang;
Abstract: Consider the sequence of interpolating basic functions. If the sequence is incomplete in the weighted spaces, the characteristic properties of its closure is obtained. Furthermore,if the interpolating points are uniformly separated,then the sequene is a basics in its closure in $\[{H^p}\]$ spaces for $\[p > 1\]$, and if $\[0 < p < 1\]$, then generally it is not a basis in its closure.

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