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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 and doubly lacun…
math.CA2026
A Variation Norm Carleson Theorem Along the Primes
Anastasios Fragkos, Ben Krause, Nazar Miheisi +1
Let denote the von Mangoldt function; we prove that for each , there exist constants \[ r' < \mathbf{c}(r) < 2 < \mathbf{C}(r), \qquad \lim_{r \to \infty} \mathbf{c}(r)…
math.CA2025
Multilinear Wavelet Compact T(1) Theorem
Anastasios Fragkos, A. Walton Green, Brett D. Wick
We prove a wavelet theorem for compactness of multilinear Calderón-Zygmund (CZ) operators. Our approach characterizes compactness in terms of testing conditions and yields…