INTERPOLATION BETWEEN WEIGHTED HARDY-SPACES

被引：8
|
作者：
CWIKEL, M
MCCARTHY, JE
WOLFF, TH
机构：
[1] INDIANA UNIV,DEPT MATH,BLOOMINGTON,IN 47405
[2] CALTECH,DEPT MATH,PASADENA,CA 91125
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 116卷 / 02期
关键词：
D O I：
10.2307/2159744
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that H(p)(w0(1-s)w1s) is an interpolation space of exponent s between H(p)(w0) and H(p)(w1) if and only if log(w1/w0) is in BMO. If log(w1/w0) fails to be in BMO, H(P)(w0(1-2)w1s) can still be an interpolation space, provided the range of w has sufficiently large gaps.
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页码：381 / 388
页数：8
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