[Authors] Pusev, R. S.; Tolstoganov, I. N. [Title] Exact small ball asymptotics for some Gaussian processes under quadratic norm with degenerate weight [AMS Subj-class] 60G15 Gaussian processes [Abstract] We found small ball asymptotics for Wiener process, Brownian bridge and Ornstein-Uhlenbeck process under quadratic norm with degenerate weight. [Keywords] Gaussian processes, small ball asymptotics [Comments] LaTeX, Russian, 16 pp. [Contact e-mail] r.pusev@spbu.ru