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| RANDOM DIRICHLET TYPE FUNCTIONS ON THE UNIT BALL OF C$^{^{\hbox{\td n}}}$ |
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Citation： |
HU Pengyan,SHI Jihuai.RANDOM DIRICHLET TYPE FUNCTIONS ON THE UNIT BALL OF C$^{^{\hbox{\td n}}}$[J].Chinese Annals of Mathematics B,1999,20(3):369~376 |
| Page view： 1191
Net amount： 1147 |
Authors： |
HU Pengyan; SHI Jihuai |
Foundation： |
National Natural Science Foundation of China and the Doctoral Programme
Foundation of the Ministry of Education of China |
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| Abstract： |
The random Dirichlet type functions on the unit ball of
{\bf C}$^n$ are studied. Sufficient conditions of the multipliers
of ${\Cal{D}}_\mu$ for $0<\mu\leq 1$, if
$n=1$ or $0<\mu<2$ if $n>1$ are given. The smoothness of random
Dirichlet type functions is discussed. |
Keywords： |
Randomization, Hardy space, Multiplier, Lipschitz condition |
Classification： |
32A30, 30B20, 32A37, 47B38 |
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