Resumen de Projection operators on matrix weighted Lp and a simple sufficient Muckenhoupt condition

Morten Nielsen, Morten Grud Rasmussen

• Boundedness for a class of projection operators, which includes the coordinate projections, on matrix weighted Lp-spaces is completely characterised in terms of simple scalar conditions. Using the projection result, sufficient conditions, which are straightforward to verify, are obtained that ensure that a given matrix weight is contained in the Muckenhoupt matrix Ap class. Applications to singular integral operators with product kernels are considered.