2 papers
math.CA2026
A Littlewood-Type Theorem for Harmonic Functions in Euclidean Half-Spaces
F. Di Biase, H. Gratien, O. Svensson
In 1927 J.E. Littlewood proved that, for bounded harmonic functions on the unit disc, the Fatou-type result, on the existence of almost everywhere boundary values through approach…
math.CA2025
A New Littlewood-Type Theorem for Bounded Holomorphic Functions in the Unit Disc
Fausto Di Biase, Haguma Gratien, Olof Svensson
We prove a new theorem of Littlewood type for bounded holomorphic functions in the unit disc, i.e., we show that these functions do not all admit almost everywhere boundary values…