  Jet shape observables which involve measurements restricted to a part of
phase space are sensitive to multiplication of soft gluon with large relative
angles and give rise to specific single logarithmically enhanced (SL) terms
(non-global logs). We consider associated distributions in two variables which
combine measurement of a jet shape V in the whole phase space (global) and that
of the transverse energy flow away from the jet direction, Eout (non-global).
We show that associated distributions factorize into the global distribution in
V and a factor that takes into account SL contributions from multi-gluon
``hedgehog'' configurations in all orders. The latter is the same that
describes the single-variable Eout distribution, but evaluated at a rescaled
energy VQ.
