Publications

Trigonometric convexity for the multidimensional indicator after Ivanov. (with A. Mkrtchyan) arXiv (2022)

Sectorial Paley-Wiener theorem. Math. Meth. Appl. Sci. (2023)

A refinement of Carlson's theorem. arXiv (2021) - slides and video

An upper bound for the Menchov-Rademacher operator for right triangles. Proc. AMS (2022)

A simple proof of the sharp weighted estimates for Calderon-Zygmund operators on homogeneous spaces. (with T. Anderson) J. Geom. Anal. (2014)

Lower bounds for L_1 discrepancy. Mathematika (2013) - slides and video

Recovering singular integrals from Haar shifts. Proc. AMS (2010) - slides

A three-dimensional signed small ball inequality. (with D. Bilyk, M. Lacey, I. Parissis) Dependence in probability, analysis and number theory (2010)

Exponential squared integrability of the discrepancy function intwo dimensions. (with D. Bilyk, M. Lacey, I. Parissis) Mathematika (2009)

On the small ball inequality in all dimensions. (with D. Bilyk, M. Lacey) J. Funct. Anal. (2008)

On the signed small ball inequality. (with D. Bilyk, M. Lacey) Online J. Anal. Comb. (2008)

On representation of functions from the space ReH1. Rep. of Acad. Sci. Armenia (2005)

Representation of L1(R) by functional series with absolutely convergent coefficients. J. Contemp. Math. Anal. (2004)