Abstract: Let K∈ 〖WTHZ〗R n be a convex body with volume | K |=1 and c enter o f mass at the origin. L K is an isotropic constant of K . Finding the le ast upper bound of L K is a well known open problem of Banach space local theory. Now the best estimate of upper bound is L K

Key words: Bourgain's problem, isotropic body, isotropic constant, convex body