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M. Nielsen and M. G. Rasmussen. Projection operators on matrix weighted $L^p$ and a simple sufficient Muckenhoupt condition. Mathematica Scandinavica, 123:72–84, 2018.
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. Applicationsto singular integral operators with product kernels are considered.1.
@article{eee68a6027944a23b4a30657e86bfbd4, Abstract = {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. Applicationsto singular integral operators with product kernels are considered.1.}, Author = {M. Nielsen and Rasmussen, {M. G.}}, Bib2Html_Dl_Html = {https://doi.org/10.7146/math.scand.a-103316}, Date-Added = {2019-03-04 15:25:14 +0100}, Date-Modified = {2019-03-04 15:27:08 +0100}, Issn = {0025-5521}, Journal = {Mathematica Scandinavica}, Language = {English}, Pages = {72--84}, Title = {Projection operators on matrix weighted $L^p$ and a simple sufficient Muckenhoupt condition}, Volume = {123}, Year = {2018}, Bdsk-Url-1 = {https://doi.org/10.7146/math.scand.a-103316}}
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