On a new reproducing kernel Hilbert space and a boundary value problem for harmonic functions

Authors : Alem MEMİĆ

Pages : 1079-1085

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Publication Date : 2015-10-01

Article Type : Research Paper

Abstract :In this paper we continue to develop a theory on a new reproducing kernel Hilbert space related to the decomposition theorem for harmonic functions on a domain of the form  Ω \ K , where  Ω  is an open subset of  R n  and  K  a compact subset of  Ω .
Keywords : harmonic Bergman space, decomposition theorem, harmonically extendable set, integral operator, boundary value problem