Maximal function characterizations of Musielak-Orlicz-Hardy spaces associated with magnetic Schrodinger operators

Let phi be a growth function, and let A:= -(a double dagger a'ia)center dot(a double dagger a'ia)+V be a magnetic Schrodinger operator on L (2)(R-n ), n a (c) 3/4 2, where a:= (a (1), a (2), aEuro broken vertical bar, a (n) ) a L (loc) (2) (R-n ,R-n ) and 0 a (c) 1/2 V a L (loc) (1) (R-n ). We establish the equivalent characterizations of the Musielak-Orlicz-Hardy space H (A, phi) (R-n ), defined by the Lusin area function associated with , in terms of the Lusin area function associated with , the radial maximal functions and the non-tangential maximal functions associated with and , respectively. The boundedness of the Riesz transforms L (k) A (-1/2), k a {1, 2, aEuro broken vertical bar, n}, from H (A, phi) (R-n ) to H (phi) (R-n ) is also presented, where L (k) is the closure of - ia (k) in L (2)(R-n ). These results are new even when phi(x, t):= omega(x)t (p) for all x is an element of R-n and t is an element of (0,+a) with p is an element of (0, 1] and omega is an element of A (a)(R-n ) (the class of Muckenhoupt weights on R-n ).