Comparison of the Bergman and Szegö kernels
Copyright policy )Comparison of the Bergman and Szegö kernels
The quotient of the Szeg�� and Bergman kernels for a smooth bounded pseudoconvex domains in ${\mathbb C}^n$ is bounded from above by $��|\log��|^p$ for any $p>n$, where $��$ is the distance to the boundary. For a class of domains that includes those of D'Angelo finite type and those with plurisubharmonic defining functions, the quotient is also bounded from below by $��|\log��|^p$ for any $p
15 pages
- Tongji University China (People's Republic of)
- Rutgers, The State University of New Jersey United States
Mathematics(all), Mathematics - Complex Variables, \(\overline{\partial}\)-operator, Szegő kernel, Pseudoconvex domains, \(L^{2}\)-estimate, Bergman kernel, L2-estimate, 32A25, 32W05, 32U35, Diederich–Fornæss exponent, Plurisubharmonic extremal functions, pluricomplex Green functions, Szegö kernel, Integral representations; canonical kernels (Szegő, Bergman, etc.), FOS: Mathematics, ∂¯-operator, pluricomplex Green function, Complex Variables (math.CV), \(\overline\partial\) and \(\overline\partial\)-Neumann operators, Pluricomplex Green function, Diederich-Fornæss exponent
Mathematics(all), Mathematics - Complex Variables, \(\overline{\partial}\)-operator, Szegő kernel, Pseudoconvex domains, \(L^{2}\)-estimate, Bergman kernel, L2-estimate, 32A25, 32W05, 32U35, Diederich–Fornæss exponent, Plurisubharmonic extremal functions, pluricomplex Green functions, Szegö kernel, Integral representations; canonical kernels (Szegő, Bergman, etc.), FOS: Mathematics, ∂¯-operator, pluricomplex Green function, Complex Variables (math.CV), \(\overline\partial\) and \(\overline\partial\)-Neumann operators, Pluricomplex Green function, Diederich-Fornæss exponent
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