Weighted Weak Local Hardy Spaces Associated with Schrödinger Operators

Abstract EN

We characterize the weighted weak local Hardy spaces Wh ρ p ( ω ) related to the critical radius function ρ and weights ω ∈ A ∞ ρ , ∞ ( R n ) which locally behave as Muckenhoupt’s weights and actually include them, by the atomic decomposition.

As an application, we show that localized Riesz transforms are bounded on the weighted weak local Hardy spaces.