Abstract:In this note we construct $\overline@ {\partial }$-equations (inhomogeneous Cauchy-Riemann equations) without solutions. The construction involves Bochner-Martinelli type kernels and differentiation with respect to certain parameters in appropriate directions.
Keywords: $\overline@ {\partial }$-equation, Bochner-Martinelli type kernels
AMS Subject Classification: 32A25