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| EXTENSIONS OF HARDY MODULES OVER THE POLYDISK ALGEBRA |
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Citation： |
GUO Kunyu,CHEN Xiaoman.EXTENSIONS OF HARDY MODULES OVER THE POLYDISK ALGEBRA[J].Chinese Annals of Mathematics B,1999,20(1):103~110 |
| Page view： 959
Net amount： 694 |
Authors： |
GUO Kunyu; CHEN Xiaoman |
Foundation： |
the National Natural Science Foundation of China, Mathematical Center of the Ministry of Education of China and the Science Foundation of China for Postdoctors |
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| Abstract： |
In this paper, the Ext groups of Hardy modules over the polydisk algebra $ A(D^n)$ are calculated. Of particular importance is that the calculating of $\Ext$-groups is closely related to harmonic analysis of polydisks. Finally, the authors point out that $\Ext$-groups reveal rigidity of Hardy submodules over $A(D^n)$ for $n>1$. |
Keywords： |
$\Ext$-groups, Hardy module, Polydisk algebra,
Hilbert module, Rigidity |
Classification： |
47B35 |
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