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- W2039969862 abstract "We prove square function estimates in L 2 for general operators of the form B 1 D 1 + D 2 B 2, where D i are partially elliptic constant coefficient homogeneous first-order self-adjoint differential operators with orthogonal ranges, and B i are bounded accretive multiplication operators, extending earlier estimates from the Kato square root problem to a wider class of operators. The main novelty is that B 1 and B 2 are not assumed to be related in any way. We show how these operators appear naturally from exterior differential systems with boundary data in L 2. We also prove non-tangential maximal function estimates, where our proof needs only off-diagonal decay of resolvents in L 2, unlike earlier proofs which relied on interpolation and L p estimates." @default.
- W2039969862 created "2016-06-24" @default.
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- W2039969862 date "2013-06-09" @default.
- W2039969862 modified "2023-10-14" @default.
- W2039969862 title "Square function and maximal function estimates for operators beyond divergence form equations" @default.
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- W2039969862 doi "https://doi.org/10.1007/s00028-013-0195-1" @default.
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