In this paper we study weighted estimates for the multi-frequency
ΟβCalder\'{o}n-Zygmund operators T associated with the frequency set
Ξ={ΞΎ1β,ΞΎ2β,β¦,ΞΎNβ} and modulus of continuity Ο
satisfying the usual Dini condition. We use the modern method of domination by
sparse operators and obtain bounds β₯Tβ₯Lp(w)βLp(w)ββ²Nβ£r1ββ21ββ£[w]Ap/rβmax(1,pβr1β)β,Β 1β€r<p<β, for the exponents of N and Ap/rβ characteristic
[w]Ap/rββ