Thomas Pawlaschyk: On q-plurisubharmonic functions in the sense of viscosity
Title: On q-plurisubharmonic functions in the sense of viscosity.
Abstract: We characterise the q-plurisubharmonic functions in terms of the theory of viscosity solutions. We show that an upper semi-continuous function is q-plurisubharmonic if and only if its complex Hessian has at most q strictly negative eigenvalues in the viscosity sense. This characterisation is then used to prove that the sup-convolution of a (strictly) q-plurisubharmonic function is again (strictly) q-plurisubharmonic on a maybe different set of definition. Finally, we use the supremum convolution to deduce a new characterisation for the q-pseudoconvex subsets C^n. It is a joint work with Eduardo S. Zeron.
Seminar bo v predavalnici 3.06 na Jadranski 21. Vljudno vabljeni!
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Franc Forstnerič in Barbara Drinovec Drnovšek
