  Exponential tightness of a family of Skorohod integrals is studied in this
paper. We first provide a counterexample to illustrate that in general the
exponential tightness with speed $\epsilon$ similar to It\^o integral does not
hold, even for any speed $\epsilon^\alpha$ with $\alpha > 0$. Then, some
characterizations of this subject are given. Application is also provided to
illustrate the proposed results.
