Quasi-Nearly Subharmonicity and Separately Quasi-Nearly Subharmonic Functions

@inproceedings{Riihentaus2008QuasiNearlySA,
  title={Quasi-Nearly Subharmonicity and Separately Quasi-Nearly Subharmonic Functions},
  author={Juhani Riihentaus},
  year={2008}
}
Wiegerinck has shown that a separately subharmonic function need not be subharmonic. Improving previous results of Lelong, Avanissian, Arsove, and of us, Armitage and Gardiner gave an almost sharp integrability condition which ensures a separately subharmonic function to be subharmonic. Completing now our recent counterparts to the cited results of Lelong, Avanissian and Arsove for so-called quasi-nearly subharmonic functions, we present a counterpart to the cited result of Armitage and… CONTINUE READING