Let L be a nonnegative, self-adjoint operator on L2(Rn) with
the Gaussian upper bound on its heat kernel. As a generalization of the square
Campanato space LβΞ2,Ξ»β(Rn), in \cite{DXY}
the quadratic Campanato space LL2,Ξ»β(Rn) is
defined by a variant of the maximal function associated with the semigroup
{eβtL}tβ₯0β. On the basis of \cite{DX} and \cite{YY} this paper
addresses the preduality of LL2,Ξ»β(Rn) through
an induced atom (or molecular) decomposition. Even in the case L=βΞ the
discovered predual result is new and natural.Comment: 19 page