Pointwise estimates for the relative fundamental solution of \overline∂_{𝑏}

Christ, Michael

doi:10.1090/S0002-9939-1988-0929407-5

Pointwise estimates for the relative fundamental solution of $\overline \partial _ b$
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by Michael Christ

Proc. Amer. Math. Soc. 104 (1988), 787-792

DOI: https://doi.org/10.1090/S0002-9939-1988-0929407-5

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Abstract:

Consider a compact pseudoconvex CR manifold of dimension 3 and finite type, on which the operator ${\bar \partial _b}$ has closed range in ${L^2}$. The relative fundamental solution of ${\bar \partial _b}$ is the distribution-kernel for that operator which inverts ${\bar \partial _b}$ modulo its kernel and cokernel. We derive pointwise bounds on this fundamental solution and its derivatives.

References

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