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

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 Rn and K a compact subset of Ω.

Keywords

• harmonic Bergman space,decomposition theorem,harmonically extendable set,integral operator,boundary value problem

References

1. .. .