  We study non-trivial deformations of the natural action of the Lie
superalgebra $mathcalK(1)$ of contact vector fields on the (1,1)-dimensional
superspace $mathbbR^{1|1}$ of th espace of symbols.
  We calculate obstructions for integrability of infinitesimal multi-parameter
deformation and determine the complete commutative algebra corresponding to the
miniversal deformation in the sense of A. Fialowski.
  Besides, we compute the first even differential cohomology space
$mathrmH^1_{mathrm{diff}}(cK(1);widetilde{cD}_{lambda,mu})$ of the Lie
superalgebra $mathcalK(1)$ of contact vector fields on the (1,1)-dimensional
superspace $mathbbR^{1|1}$ with coefficients in the superspace
$widetilde{mathcalD}_{lambda,mu}$ of linear differential operators from the
superspace of weighted densities $\fF_{\lamda}$ to $\fF_{\mu}$. (To appear in
Journal of Generalized Lie Theory and Applications)
