A removability result for separately subharmonic functions

Анотація

Blanchet has shown that a ${\mathrm{ℂ}}^2$ subharmonic function can be extended throught a ${\mathrm{ℂ}}^1$ hypersurface provided the function satisfies certain ${\mathrm{ℂ}}^1$ type continuity condtions on the exceptional hypersurface. Recently we improved Blanchet's result by measuring the exceptional set with the aid of Hausdorff measure. Now we give a related extension result for separately subharmonic functions.