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math.CV2024
Two footnotes to the F. & M. Riesz theorem
Ole Fredrik Brevig
We present a new proof of the F. & M. Riesz theorem on analytic measures of the unit circle that is based the following elementary inequality: If is analytic in th…
math.CA2024
Almost periodicity and boundary values of Dirichlet series
Ole Fredrik Brevig, Athanasios Kouroupis, Karl-Mikael Perfekt
We employ almost periodicity to establish analogues of the Hardy--Stein identity and the Littlewood--Paley formula for Hardy spaces of Dirichlet series. A construction of Saksman a…
math.FA2024
Critical exponents of the Riesz projection
Ole Fredrik Brevig, Adrián Llinares, Kristian Seip
Let denote the critical exponent of the Riesz projection from to the Hardy space , where is the unit circle.…