Projection operators on matrix weightedLp and a simple sufficient Muckenhoupt condition

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Abstrakt

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.

OriginalsprogEngelsk
TidsskriftMathematica Scandinavica
Vol/bind123
Udgave nummer1
Sider (fra-til)72-84
Antal sider13
ISSN0025-5521
DOI
StatusUdgivet - 6 aug. 2018

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