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 Hölmander class Sρ,δmℝn on weighted Hardy spaces Hω1ℝn, where ω belongs to Muckenhoupt class Ap. The first one is an estimate from Hω1ℝn into Lω1ℝn. We get a better range of admissible p and m. The second one is a weighted version bounded for the operators T on Hω1ℝn, and it is an addition to the literature.