Molecular characterizations and dualities of variable exponent Hardy spaces associated with operators (Q2790829)

In this interesting paper, the Hardy spaces with variable exponent associated with a linear operator are introduced. The molecular characterizations of these Hardy spaces are obtained. The corresponding BMO type spaces are introduced and the duality result between these BMO spaces and the Hardy spaces with variable exponent associated with linear operators is established. Moreover, the boundedness of the fractional integral operators and the identification of the Hardy spaces with variable exponent associated with a linear operator and the Hardy spaces with variable exponent are given as applications of the molecular decompositions.