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arXiv · 1503.01961

Projection operators on matrix weighted $L^p$ and a simple sufficient Muckenhoupt condition

Morten Nielsen·Morten Grud Rasmussen
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Abstract

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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Morten Nielsen, Morten Grud Rasmussen. 2015-03-06. Projection operators on matrix weighted $L^p$ and a simple sufficient Muckenhoupt condition. https://arxiv.org/abs/1503.01961

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