Publications of Armen Vagharshakyan


Publications

1 A. Vagharshakyan,
"Lower Bounds for $L_1$ Discrepancy",
accepted to "Mathematika".
  arxiv version
2 T. Anderson, A. Vagharshakyan,
"A Simple Proof of the sharp Weighted Estimate for Calderon-Zygmund Operators on Homogeneous Spaces",
accepted to "The Journal of Geometric Analysis".
  arxiv version
3 A. Vagharshakyan,
"Chebyshev-Type Quadrature Formulas for New Weight Classes",
preprints of Centre de Recerca Matematica, Barcelona (2011).
  arxiv version
4 A. Vagharshakyan,
"Recovering singular integrals from Haar shifts.",
Proc. Amer. Math. Soc. 138 (2010), no. 12, 4303–4309.
  published version
5 A. Vagharshakyan,
"Estimates for discrepancy and Calderón-Zygmund operators",
Doctoral Thesis (2010).
  submitted version and slides
6 D. Bilyk, M. Lacey, I. Parissis and A. Vagharshakyan,
"A three-dimensional signed small ball inequality",
Dependence in probability, analysis and number theory, 73-87, Kendrick Press, Heber City, UT, 2010.
  preprint
7 D. Bilyk, M. Lacey, I. Parissis and A. Vagharshakyan,
"Exponential squared integrability of the discrepancy function in two dimensions",
Mathematika 55 (2009), no. 1-2, 1-27.
  preprint
8 D. Bilyk, M. Lacey and A. Vagharshakyan,
"On the small ball inequality in all dimensions",
J. Funct. Anal. 254 (2008), no. 9, 2470-2502.
  arxiv version
9 D. Bilyk, M. Lacey and A. Vagharshakyan,
"On the Signed Small Ball Inequality",
Online J. Anal. Comb. No. 3 (2008), Art. 6, pp 1-7.
  published version
10 A. Vagharshakyan,
"On Representation of Functions from the Space ReH1",
Reports of Academy of Sciences of Armenia , Vol. 105, No. 2 (2005).
  abstract and full text
11 A. Vagharshakyan,
"Representation of L1(R) by functional series with absolutely convergent coefficients",
Journal of Contemporary Mathematical Analysis, Vol. 39, No. 5 (2004).
  abstract and full text