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math.CV2025
The Schwarz lemma for holomorphic and minimal disks at the boundary
David Kalaj
We first prove a Boundary Schwarz lemma for holomorphic disks on the unit ball in . Further by using a Schwarz lemma for minimal conformal disks of Forstneri\v c and…
math.CV2025
Isoperimetric inequality for nearly spherical domains in the Bergman ball
David Kalaj
We prove a quantitative isoperimetric inequality for the nearly spherical subset of the Bergman ball in . We prove the Fuglede theorem for such sets. This result is a…