Behavior of kernel functions on boundaries
Shohei Nagura · Kodai Mathematical Journal · 1952
By Shohoi NAGURAFor an arbitrary domain D on z-plane, Bergman and Szegδ kernel functions are defined as the Uniting functions which are dofined for domains of exhaustions of D whose boundaries are finite number of closed analytic curves" As usual, we denote them by K(z, ζ and k(z, ς ) respectively 0 We suppose that D contains at least a continuum* Then, K(z, ς ) does not vanish identically*.