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Magnetic Geodesics on the Space of Kähler Potentials
Sibel Sahin
In this work, magnetic geodesics over the space of Kähler potentials are studied through a variational method for a generalized Landau-Hall functional. The magnetic geodesic equati…
Angular Derivatives and Boundary Values of H(b) Spaces of Unit Ball of
Sibel Sahin
In this work we study deBranges-Rovnyak spaces, , on the unit ball of . We give an integral representation of the functions in through the Clark measure…
m-Pluripotential Theory on Riemannian Spaces and Tropical Geometry
Sibel Sahin
In this study we extend the concepts of -pluripotential theory to the Riemannian superspace formalism. Since in this setting positive supercurrents and tropical varieties are cl…
Toric Pluripotential Theory
Vincent Guedj, Ahmed Zeriahi, Dan Coman +1
We study finite energy classes of quasiplurisubharmonic (qpsh) functions in the setting of toric compact K{ä}hler manifolds. We characterize toric qpsh functions and give necessary…
Poletsky-Stessin Hardy Spaces on Domains Bounded by An Analytic Jordan Curve in
Sibel Sahin
We study Poletsky-Stessin Hardy spaces that are generated by continuous, subharmonic exhaustion functions on a domain , that is bounded by an analytic Jordan cu…