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This article deals withL  p{L^{p}}   -L  2{L^{2}}    estimates for solutions of the wave equation associated to the Grushin operatorG  :=    -  Δ   -|  x  |   2   ⁢    ∂  2    ∂  ⁡   t  2{G:=-\Delta-|x|^{2}\frac{\partial^{2}}{\partial t^{2}}}    onℝ   n  +  1{\mathbb{R}^{n+1}}   . We make use of theL  p{L^{p}}    boundedness of Riesz transforms for the Grushin operator in studying the wave equation.

L p - L 2 estimates for solutions of the wave equation associated to the Grushin operator