Stability of Wehrl-type Functionals and Concentration Estimates on Bergman Spaces of Log-Subharmonic Functions on the Unit Sphere

Vladan Jaguzović, Petar Melentijević

In this paper, we consider weighted Bergman spaces ${\mathcal{B}}_{\hat{I}\pm ,p}$ of log-subharmonic functions on the unit sphere. Using the isoperimetric inequality for the spherical metric…