ON THE ESTIMATION OF MULTIPLE RANDOM INTEGRALS AND DEGENERATE $U$-STATISTICS



This text in latex version in "Springer" style.



The same work in usual TeX file




I also put a previous version of this lecture note to my homepage. It contains some results which are not contained in the new version. Such results are for instance the proof of the logarithmic Soboliev inequality, Borell's inequality, the multi-variate version of the Marcinkiewicz--Zygmund inequality and the proof of Theorem 8.3 with the help of the above result; Nelson's hypercontractive inequality.