14 citations · 29 across the 13 of their papers we have counts for
13 papers
On quasinearly subharmonic functions
O. Dovgoshey, J. Riihentaus
We recall the definition of quasinearly subharmonic functions, point out that this function class includes, among others, subharmonic functions, quasisubharmonic functions, nearly…
Removability results for subharmonic functions, for separately subharmonic functions, for harmonic functions, for separately harmonic functions and for holomorphic functions, a survey
Juhani Riihentaus
We begin with an improvement to an extension result for subharmonic functions of Blanchet et al. With the aid of this improvement we then give extension results for subharmonic fun…
First Baire class functions in the pluri-fine topology
Oleksiy Dovgoshey, Mehmet Küçükaslan, Juhani Riihentaus
Let be the first Baire class of real functions in the pluri-fine topology on an open set and let be the f…
An inequality type condition for quasinearly subharmonic functions and applications
Juhani Riihentaus
Generalizing older works of Domar and Armitage and Gardiner, we give an inequality for quasinearly subharmonic functions. As an application of this inequality, we improve Domar's,…
On separately subharmonic and harmonic functions
Juhani Riihentaus
We improve our previous generalizations to Arsove's and Ko\lodziej's and Thorbiörnson's results concerning the subharmonicity of a function subharmonic with respect to the first va…
Mean value type inequalities for quasinearly subharmonic functions
Oleksiy Dovgoshey, Juhani Riihentaus
The mean value inequality is characteristic for upper semicontinuous functions to be subharmonic. Quasinearly subharmonic functions generalize subharmonic functions. We find the ne…