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math.CV2026
A Schwarz-Jack lemma, circularly symmetric domains and numerical ranges
Javad Mashreghi, Annika Moucha, Ryan O'Loughlin +2
We prove a Schwarz-Jack lemma for holomorphic functions on the unit disk with the property that their maximum modulus on each circle about the origin is attained at a point on the…
math.CV2026
Orthogonal projections in the local Dirichlet spaces
Emmanuel Fricain, Javad Mashreghi
We present an explicit formula for the orthogonal projection onto the subspace of analytic polynomials of degree at most in the local Dirichlet space , where the positiv…