Ben Krause

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math.CA2026

A Variation Norm Carleson Theorem Along the Primes

Anastasios Fragkos, Ben Krause, Nazar Miheisi +1

Let $I^$ 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)…

math.CA2025

An Approach To Endpoint Problems in Oscillatory Singular Integrals

Alex Iosevich, Ben Krause, Hamed Mousavi

In this note we provide a quick proof that maximal truncations of oscillatory singular integrals are bounded from $L^{1} (R)$ to $L^{1, \infty} (R)$ . The methods we us…