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.
@article{119028, author = {Telemachos Hatziafratis}, title = {On a class of $\overline{\partial}$-equations without solutions}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {39}, year = {1998}, pages = {503-509}, zbl = {0970.32004}, mrnumber = {1666762}, language = {en}, url = {http://dml.mathdoc.fr/item/119028} }
Hatziafratis, Telemachos. On a class of $\overline{\partial}$-equations without solutions. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) pp. 503-509. http://gdmltest.u-ga.fr/item/119028/
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