  Approximation properties of multivariate quasi-projection operators are
studied in the paper. Wide classes of such operators are considered, including
the sampling and the Kantorovich-Kotelnikov type operators generated by
different band-limited functions.The rate of convergence in the weighted
$L_p$-spaces for these operators is investigated. The results allow to estimate
the error for reconstruction of signals (approximated functions) whose decay is
not enough to be in $L_p$.
