Radial limits of superharmonic functions in the plane
Rearrangement estimates of the area integrals
We derive weighted rearrangement estimates for a large class of area integrals. The main approach used earlier to study these questions is based on distribution function inequalities.
Rectilinearly and rectifiably ambiguous points of a function harmonic inside a sphere
Regular growth of subharmonic functions of several variables.
Remarks on subharmonic envelopes.
We prove that the subharmonic envelope of a lower semicontinuous function on Omega is harmonic on a certain open subset of Omega, using a very classical method in potential theory. The result gives simple proofs of theorems on harmonic measures and Jensen measures obtained by Cole and Ransford.
Reproducing Kernels for Harmonic Bergman Spaces of the Unit Ball.
Restricted mean value property for positive functions.