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  1. ; (, Complex Analysis and its Synergies)
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  2. ; ; ; (, New York journal of mathematics)
    The complex Green operator $$\mathcal{G}$$ on CR manifolds is the inverse of the Kohn-Laplacian $$\square_b$$ on the orthogonal complement of its kernel. In this note, we prove Schatten and Sobolev estimates for $$\mathcal{G}$$ on the unit sphere $$\mathbb{S}^{2n-1}\subset \mathbb{C}^n$$. We obtain these estimates by using the spectrum of $$\boxb$$ and the asymptotics of the eigenvalues of the usual Laplace-Beltrami operator. 
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  3. ; ; ; ; (, Involve, a Journal of Mathematics)
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  4. ; ; ; (, Involve, a Journal of Mathematics)
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