Boundary behavior of the Szegö kernel
Copyright policy )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 ${\mathbb C}^2$.
- Fudan University China (People's Republic of)
- Sun Yat-sen University China (People's Republic of)
Mathematics - Complex Variables, Integral representations; canonical kernels (Szegő, Bergman, etc.), Szegő kernel, FOS: Mathematics, Pseudoconvex domains, Boundary behavior of holomorphic functions of several complex variables, Complex Variables (math.CV), boundary behavior
Mathematics - Complex Variables, Integral representations; canonical kernels (Szegő, Bergman, etc.), Szegő kernel, FOS: Mathematics, Pseudoconvex domains, Boundary behavior of holomorphic functions of several complex variables, Complex Variables (math.CV), boundary behavior
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