Boundary behavior of the Szegö kernel

We give a Hörmander-type localization principle for the Szegö kernel $S_Ω(z)$. We also show that for each boundary point $z_0$, $S_Ω(z)\gtrsim|z-z_0|^{-\frac{1}{3}}$ holds non-tangentially for any bounded pseudoconvex domain with smooth boundary in ${\mathbb C}^2$.

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