Weak K-dominance model and bounds on K/sub l3/decay parameters

The previously found bounds on the $K_{l3}$ form factors have been improved without assuming the validity of unsubtracted dispersion relations for two-point functions and without assuming specific SW(3)-symmetry-breaking Hamiltonians. As a price which we pay for this generality, it is necessary to assume a weak form of $\kappa$ dominance for the two-point function (but not for the three-point functions). Under this assumption the two-point function may still have a nonzero and sizable contribution from the high-energy region. The derived bounds still give results inconsistent with the present experiments if we utilize the soft-pion theorem as input information.