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Decomposition of L-p (partial derivative D-a) Space and Boundary Value of Holomorphic Functions

Abstract: This paper deals with two topics mentioned in the title. First, it is proved that function f is L-p(partial derivative D-a) can be decomposed into a sum g + h, where. D-a is an angular domain in the complex plane, g and h are the non-tangential limits of functious in H-p(D-a) and H-p(D-a(c)) in the sense of L-P (D-a), respectively. Second, the sufficient and necessary conditions between boundary values of holomorphic functions and distributions in n-dimensional complex space are obtained.