Pseudodifferential Operators on Weighted Hardy Spaces

We study two sufficient conditions for the boundedness of a class of pseudodifferential operators T with symbols in the Holmander class S-rho,delta(m)(R-n) on weighted Hardy spaces H-omega(1)(R-n), where. belongs to Muckenhoupt class A(p). The first one is an estimate from H-omega(1)(R-n) into L-omega(1)(R-n). We get a better range of admissible p and m. /e second one is a weighted version bounded for the operators T on H-omega 1(R-n), and it is an addition to the literature.