LOCAL LP ESTIMATE FOR THE SOLUTION OF (PARTIAL-DERIVATIVE)OVER-BAR-NEUMANN PROBLEM OVER D(T) = ((W,Z)-RE N-OR-EQUAL-TO-VERTICAL-BAR-Z(M)-TW-VERTICAL-BAR(2) M)/

Assume that a distribution u satisfies conditions: partial derivative uBAR = f, u perpendicular-to H(Dt) on domain D(t), u is-an-element-of Dom(partial derivative 0BAR), partial derivative uBAR is-an-element-o f partial derivative 1BAR; partial derivative fBAR = 0, f perpendicul ar-to H-0,1. It is proved that phi1u is-an-element-of L(beta+1/2m-epsi lon)p if phi2f is-an-element-of L(beta)p, where L(beta)p is the potent ial space defined in [14]; phi1, phi2 is-an-element-of C(c)infinity(U) , phi2 = 1 on suppt phi1; U is a neighbourhood of the origin; epsilon is a small positive number. This result contains a result of D. C. Cha ng (in [3]) by setting t = 0.