TY - JOUR
T1 - Projection operators on matrix weightedLp and a simple sufficient Muckenhoupt condition
AU - Nielsen, Morten
AU - Rasmussen, Morten Grud
PY - 2018/8/6
Y1 - 2018/8/6
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85051082458&partnerID=8YFLogxK
U2 - 10.7146/math.scand.a-103316
DO - 10.7146/math.scand.a-103316
M3 - Journal article
SN - 0025-5521
VL - 123
SP - 72
EP - 84
JO - Mathematica Scandinavica
JF - Mathematica Scandinavica
IS - 1
ER -