Littlewood-Paley Characterization For Musielak-Orlicz-Hardy Spaces Associated With Operators

Let X be a measure metric space and L an non-negative second-order self-adjoint operator on L2(X).The Musielak-Orlicz-Hardy Space is denoted by H?,L(X),where? is growth function.Under the condition that the(heart)kernel of e-tL satisfies the Gaussian upper bound,we study the Littlewood-Paley Characterization of L on H?,L(X).