Projection operators on matrix weighted $L^p$ 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 $L^p$-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 $A_p$ class. Applications to singular integral operators with product kernels are considered.


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How to Cite

Nielsen, M., & Rasmussen, M. G. (2018). Projection operators on matrix weighted $L^p$ and a simple sufficient Muckenhoupt condition. MATHEMATICA SCANDINAVICA, 123(1), 72–84.