In this note we establish the regularity and uniqueness for the three-dimensional incompressible damped Boussinesq equations with zero thermal diffusion.

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The aim of this paper is to characterize the behavior of boundary limits of functions in Hardy space on angular domains. We investigate that the Cauchy integral of a functionWe also prove that the functions in H p (D a ) are the Cauchy integral of their non-tangential boundary limits. In addition, we establish the orthogonality of non-tangential boundary limits of functions in H p (D a ) and H q (D a ).

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