Integral representation of functions in strictly pseudoconvex domains and applications to the $\overline\partial$-problem

The integral representation obtained for smooth functions defined in strictly pseudoconvex domains in $n$-dimensional complex space can be considered as the “natural” extension of the well-known Cauchy–Green formula. Using this representation we succeed in obtaining a formula and uniform bound for solutions of the $\overline\partial$-problem in strictly pseudoconvex domains.
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