On a class of $\overline{\partial}$-equations without solutions
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 3, pp. 503-509
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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.
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.
Classification :
32A25, 32F20, 32W05
Keywords: $\overline{\partial }$-equation; Bochner-Martinelli type kernels
Keywords: $\overline{\partial }$-equation; Bochner-Martinelli type kernels
@article{CMUC_1998_39_3_a6,
author = {Hatziafratis, Telemachos},
title = {On a class of $\overline{\partial}$-equations without solutions},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {503--509},
year = {1998},
volume = {39},
number = {3},
mrnumber = {1666762},
zbl = {0970.32004},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1998_39_3_a6/}
}
TY - JOUR
AU - Hatziafratis, Telemachos
TI - On a class of $\overline{\partial}$-equations without solutions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
SP - 503
EP - 509
VL - 39
IS - 3
UR - http://geodesic.mathdoc.fr/item/CMUC_1998_39_3_a6/
LA - en
ID - CMUC_1998_39_3_a6
ER -
Hatziafratis, Telemachos. On a class of $\overline{\partial}$-equations without solutions. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 3, pp. 503-509. http://geodesic.mathdoc.fr/item/CMUC_1998_39_3_a6/