Determination of large QCD corrections near the boundary of phase space

Here we present a rule which determines the coefficients of the leading and next to leading logarithms which appear in the Wilson coefficient function near the boundary of phase space. The validity of this rule is checked up to two-loop order in perturbation theory for two model field theories. In order to include the next to leading logarithms we propose a new resummation technique of the large corrections. (orig.)