Square function estimates on layer potentials for higherâorder elliptic equations
Square function estimates on layer potentials for higherâorder elliptic equations
Abstract In this paper we establish squareâfunction estimates on the double and single layer potentials for divergence form elliptic operators, of arbitrary even order 2 m , with variable t âindependent coefficients in the upper halfâspace. This generalizes known results for variableâcoefficient secondâorder operators, and also for constantâcoefficient higherâorder operators.