test
Test
2008-07-11 03:58:41
2008-07-11 03:58:41
Definition
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\noindent
abbreviation According again all all all all Alltogether, also always and and and and and applied are arguments as at at at
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be belong
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$\vee\ulcorner \mathrm{o}\mathrm{n}\mathrm{d}\mathrm{i}\mathrm{t}\mathrm{i}\mathrm{o}\mathrm{n}$ consider
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Diederich
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a enough E. ex- expression
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Oollowing following, For for for for for for for for Fornaess functions get get get gives gives:
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Save have hold
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tf In in in in inequality instead is It it
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1.
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K.
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Leviform Leviform
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must
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$(\hat{\xi},\hat{\eta})\in \mathbb{C}^{2}\rho=-\delta(2-\delta).\hat{h}\in C^{2}(\overline{\Omega}_{r}), (\hat{\xi},\hat{\eta})\in \mathbb{C}^{2}, (\hat{\xi},\hat{\eta})\in \mathbb{C}^{2}.\ \displaystyle \mathcal{L}_{\sigma}(p;(\xi,\ \eta))\frac{\partial^{2}\rho}{\partial w\partial\overline{w}}=1;\zeta_{=}\exp(i\ln|z|^{2}) \delta=0, p=(z,\ 0)\in M_{r}.\ \displaystyle \frac{\partial^{2}\rho}{\partial zk}=2\frac{\delta}{|z|^{2}}$;
\noindent
$|p\sigma\sigma\sigma\sigma z\Omega_{r}\hat{\sigma}.\ \Omega_{r}$ : $\Omega_{r}.$) $0<\delta<1(\xi,\ \eta)0<\delta<1.1\leqq|z|\leqq r1\leqq|z|\leqq r1\leqq|z|\leqq r$
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$\mathrm{z}\in \mathbb{C}, \displaystyle \delta\in \mathrm{R}\frac{\partial\rho}{\partial z}=0;(\hat{\xi},\ \delta\hat{\eta})(\xi,\ \eta)\in \mathbb{C}^{2}$
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$p=(z,\ -\delta\exp(i\ln|z|^{2}))].\ \displaystyle \frac{\partial\rho}{\partial w}=(1-\delta)\exp(i\ln|z|^{2});\frac{\partial^{2}\rho}{\partial z\partial\overline{w}}=\frac{i}{Z}\exp(i\ln|z|^{2})$;
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$[)=(z,\ w)=(z,\ -\delta\exp(i\ln|z|^{2}))$
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$+\displaystyle \tau\delta\hat{h}+\tau(1-\tau)\frac{(1-\delta)^{2}}{2-\delta}\hat{h})|\eta|^{2}\}.\hat{\sigma}(z,\ w)=-\tilde{h}(|z|^{2},\ w)(-\rho_{r}(z,\ w))^{1/\iota}$
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$+(2-\displaystyle \delta)(-\delta^{2}(2-\delta)\frac{\partial^{2}\hat{h}}{\partial w\partial\overline{w}}+2\tau\delta(1-\delta){\rm Re}(\zeta\frac{\partial\hat{h}}{\partial w})$
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$+2\displaystyle \delta(2-\delta){\rm Re}[(-\delta(2-\delta)\frac{\partial^{2}\hat{h}}{\partial z\partial\overline{w}}+\tau(1-\delta)\frac{\partial\hat{h}}{\partial z}+\tau\frac{i}{Z}\zeta\hat{h})\xi\not\in$
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$g_{\sigma}(p;(\displaystyle \xi,\ \eta))=\delta^{\tau-2}(2-\delta)^{\tau-2}\{\delta^{2}(2-\delta)(-(2-\delta)\frac{\partial h}{\partial z\partial\overline{z}}+2\tau\hat{h}\frac{1}{|z|^{2}})|\xi|^{2}$
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$+(-\displaystyle \delta^{2}(2-\delta)\frac{\partial^{2}\hat{h}}{\partial w\partial\overline{w}}+2\tau\delta(1-\delta){\rm Re}(\zeta\frac{\partial\hat{h}}{\partial w})+\tau\delta\hat{h}+\tau(1-\tau)\frac{(1-\delta)^{2}}{2-\delta}\hat{h})|\hat{\eta}|^{2}\geqq 0$
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$(^{-2\frac{\partial^{2}\hat{h}}{\partial z\partial\overline{z}}+2\frac{\tau}{|z|^{2}}\hat{h})|\xi|^{2}+2{\rm Re}}([\displaystyle \tau\zeta(\frac{\partial\hat{h}}{\partial z}+\frac{i}{Z}\hat{h})\hat{\xi}\hat{\eta}]+\frac{1}{2}\tau(1-\tau)\hat{h}|\hat{\eta}|^{2}\geqq 0$
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$(^{-(2-\delta)\frac{\partial^{2}\hat{h}}{\partial z\mathit{5}\overline{z}}+2\frac{\tau}{|z|^{2}}\hat{h})|\xi|^{2}+2{\rm Re}}([(-\displaystyle \delta(2-\delta)\frac{\partial^{2}\hat{h}}{\partial w\partial\overline{w}}+\tau(1-\delta)\frac{\partial\hat{h}}{\partial z}+\tau\frac{i}{Z}\zeta\hat{h})\hat{\xi}\hat{\eta}$
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[lecessary
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obviously, of of of on on out
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286 [ (15) (17) (17) (18 (19) (They, )
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plurisubharmonic points points points: pression proof
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$\mathrm{r}$
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finc suppose
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that that the the the the the the the the the the the the then these This This this this to to to to to turn
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vecto vector
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we we we we we we we will will with with with with with write written