On global hypoellipticity of vector fields
An oscillatory singular integral operator with polynomial phase
We prove the continuity of an oscillatory singular integral operator T with polynomial phase P(x,y) on an atomic space related to the phase P. Moreover, we show that the cancellation condition to be imposed on T holds under more general conditions. To that purpose, we obtain a van der Corput type lemma with integrability at infinity.
Traces and the F. and M. Riesz theorem for vector fields
This work studies conditions that insure the existence of weak boundary values for solutions of a complex, planar, smooth vector field . Applications to the F. and M. Riesz property for vector fields are discussed.
Local a priori estimates in Lp for first order linear operators with nonsmooth coefficients.
Well posed Cauchy problems for complex nonlinear equations must be semilinear.
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