In this Letter we study the double diffractive vector meson production in
e+e− collisions assuming the dominance of the BFKL pomeron exchange. We
consider the non-forward solution of the BFKL equation at high energy and large
momentum transfer and estimate the total cross section for the process e+e−→e+e−V1V2 with antitagged e+ and e−, where V1 and V2 can
be any two vector mesons (Vi=ρ,ω,ϕ,J/Ψ,Υ). The
event rates for the future linear colliders are given.Comment: 8 pages, 1 figure, Version to be published in Physical Review