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math.CV2012★ 9 cited
An Integral Kernel for Weakly Pseudoconvex Domains
R. Michael Range
A new explicit construction of Cauchy-Fantappié kernels is introduced for an arbitrary weakly pseudoconvex domain with smooth boundary. While not holomorphic in the parameter, the…
math.CV2011★ 2 cited
A Pointwise a-priori Estimate for the d-bar Neumann Problem on Weakly Pseudoconvex Domains
R. Michael Range
We introduce a new integral representation formula in the d-bar Neumann Theory on weakly pseudoconvex domains which satisfies certain estimates analogous to the basic L^2 estimate.…