In this paper, we establish square-function estimates on the double and single layer potentials with rough inputs for divergence form elliptic operators, of arbitrary even order 2m, with variable t-independent coefficients in the upper half-space.
Bibliographical noteFunding Information:
We would like to thank the American Institute of Mathematics for hosting the SQuaRE workshop on ?Singular integral operators and solvability of boundary problems for elliptic equations with rough coefficients?, and the Mathematical Sciences Research Institute for hosting a Program on Harmonic Analysis, at which many of the results and techniques of this paper were?discussed.
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