Christina Giannitsi

activity

20212024

collaborators

3 papers

math.CA2024

Averages with the Gaussian divisor: Weighted Inequalities and the Pointwise Ergodic Theorem

Christina Giannitsi, Nazar Miheisi, Hamed Mousavi

We discuss the Pointwise Ergodic Theorem for the Gaussian divisor function $d (n)$ , that is, for a measure preserving $Z [i]$ action $T$ , the limit $$\lim_{N\rightarrow \inft…

math.CA2023

Lower Estimate on Square Function of an Indicator Set

Christina Giannitsi, Michael T. Lacey

Let $S f$ be a discrete martingale square function. Then, for any set $V$ of positive probability, we have $E S (1_{V})^{2} \geq η P (V)$ for an absolute constan…

math.CA2021

Improving and Maximal Inequalities for Primes in Progressions

Christina Giannitsi, Michael T. Lacey, Hamed Mousavi +1

Assume that $y < N$ are integers, and that $(b, y) = 1$ . Define an average along the primes in a progression of diameter $y$ , given by integer $(b, y) = 1$ . \begin{align*} A_{N,y,b…