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math.FA2026
Tangential boundary behavior in Hilbert spaces of analytic functions
Shuaibing Luo, Bartosz Malman
Sarason's Hilbert space version of Carathéodory-Julia Theorem connects the non-tangential boundary behavior of functions in de Branges-Rovnyak space with the existence of a…
math.FA2025
Double-layer potentials, configuration constants and applications to numerical ranges
Bartosz Malman, Javad Mashreghi, Ryan O'Loughlin +1
Given a compact convex planar domain with non-empty interior, the classical Neumann's configuration constant is the norm of the Neumann-Poincaré operator…
math.FA2024
Universal multipliers for Sub-Hardy Hilbert spaces
Bartosz Malman, Daniel Seco
To every non-extreme point of the unit ball of $\hil^\infty$ of the unit disk there corresponds a Pythagorean mate, a bounded outer function satisfying the equation $|a|^2…