A. Fragkos

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20222026

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Showing 2026 · math.CAShow all

3 papers · 2 filters

math.CA2026

Endpoint Estimates for Stein's Purely Quadratic Carleson Operator

Anastasios Fragkos, Ben Krause, Michael Lacey

We study the near $L^{1}$ behavior of the maximally quadratically modulated Hilbert transform \[ \mathcal{C}_2f(x) := \sup_λ \left|\operatorname{p.v.} \int_{\mathbb{R}}f(x-y)e^{2 πi…

math.CA2026

Polynomial Ergodic Averages Along Short Intervals

Anastasios Fragkos, Hamed Mousavi, Amelia Stokolosa

We study pointwise convergence of polynomial ergodic averages over short intervals whose left endpoints tend to infinity. For a polynomial orbit of degree $d \geq 2$ and doubly lacun…

math.CA2026

A Variation Norm Carleson Theorem Along the Primes

Anastasios Fragkos, Ben Krause, Nazar Miheisi +1

Let $Λ$ denote the von Mangoldt function; we prove that for each $r > 2$ , there exist constants \[ r' < \mathbf{c}(r) < 2 < \mathbf{C}(r), \qquad \lim_{r \to \infty} \mathbf{c}(r)…