A Theorem for Kernel Functions
نویسندگان
چکیده
Let B be a domain lying in the complex z plane and KB(z, t) its kernel function. A number of relationships exist between the kernel and the geometric properties of the domain. (See, for example, [l].)1 It is the purpose of the present note to relate the successive derivatives of the kernel with the domain B. If z is interior to B, we shall denote by rB(z) the shortest distance from the point z to the boundary of B. Furthermore, we introduce the abbreviation
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