# Oleksandra V. Beznosova

## Александра Валерьевна Безносова

 Department of MathematicsBaylor University One Bear Place #97328 Waco, TX 76798-7328, USA (254) 252-7062 alexbeznosova@yahoo.com Oleksandra_Beznosova@baylor.edu Curriculum Vitae (CV) (December 2012)

## Research Interests

 Harmonic analysis, Weight theory, PDE's, Weighted norm inequalities, Quasiconformal mappings, Probability and probabilistic methods in Harmonic analysis.

## Ph.D. in Mathematics, University of New Mexico, May 2008

 Ph.D. Advisor: Maria Cristina Pereyra Dissertation topic: Bellman functions, paraproducts, Haar multipliers and weighted inequalities.

 Assistant Research Professor Baylor University, Waco, TX August 2012 - current. Postdoctoral Fellow Baylor University, Waco, TX August 2011 - August 2012. Postdoctoral Fellow University of Missouri, Columbia, MO August 2008 - July 2011.

## Service and Review

 NSF review panel member, 2011 - 2012. Reviewer: Croatian Science Foundation, Indiana University Mathematics Journal, Journal of Mathematical Analysis and Applications, Journal of Functional Analysis Organizer: AMS Western Spring Sectional Meeting #1099, UNM, Albuquerque, NM April 5-6, 2014

## Publications [Citations][ArXiv]

 7 O. Beznosova, P.A. Hagelstein. Continuity of halo functions associated to homothecy invariant density bases. Submitted, 2012. 6 O. Beznosova, J.C. Moraes, M.C. Pereyra. Sharp bounds for T-Haar multipliers on $L_2$. Submitted, 2012. 5 O. Beznosova, A.B. Reznikov. Equivalent definitions of dyadic Muckenhoupt and Reverse Holder classes in terms of Carleson sequences, weak classes, and comparability of dyadic $L\log L$ and $A_\infty$ constants. To appear in Revista Matemática Iberoamericana. 4 O. Beznosova, A.B. Reznikov. Sharp estimates involving $A_\infty$ and $L\log L$ constants, and their applications to PDE. Submitted, 2011. 3 O. Beznosova The perfect dyadic Calderon-Zygmund singular integral operator. In preparation. 2 O. Beznosova. Linear bound for the dyadic paraproduct on weighted Lebesgue space $L_2(w)$. Journal of Functional Analysis, 255(no.4):994-1007, 2008. 1 O. Beznosova, V.I. Koltchinskii. Exponential Convergence Rates in Classification. COLT 2005: 295-307, 2005.

## Invited Speaker

 6 Muckenhoupt and Reverse Holder classes of weights via summation conditions. Workshop for Women in Analysis and PDE. Minneapolis, MN,May 30-June 2, 2012 5 Equivalent definitions of Muckenhoupt and Reverse Holder classes of weights via summation conditions. 2012 AMS Spring Central Section Meeting. Lawrence, KS, March 30-April 1, 2012 4 Equivallent forms of the $A_\infty$ condition and applications. Mini doc-course at Harmonic Analysis, Metric Spaces and Applications to PDE workshop. Seville, Spain,May 15-July 15, 2011. 3 The limiting case of the Reverse Holder inequalities and the $A_\infty$ condition. 2011 AMS Spring Southeastern Section Meeting. Statesboro, GA,March 12-13, 2011. 2 A New Sharp Version of Buckley's Inequality 26th Southeastern Analysis Meeting (SEAM 2010). Atlanta, GA,March 25-28 2010. 1 Linear with respect to the $A_2$-constant of the weight $w$ bound on the norm of the perfect dyadic operator on the weighted Lebesgue spaces $L^2(w)$. 34th University of Arkansas Spring Lecture Series. Fayetteville, AR,April 16-18 2009.

## Talks

 $A_\infty$ class as a limit of Reverse Holder classes. Limiting case of the Gehring Lemma. Spring School on Analysis 2011 Czech Republic, May 29-June 4, 2011 The limiting case of the Reverse Holder inequalities and the $A_\infty$ condition. Michigan State University Analysis seminar East Lansing, MI, March 30, 2011 The limiting case of the Reverse Holder inequalities and the $A_\infty$ condition. Kansas State University Analysis Seminar Manhattan, KS, February 23, 2011 The limiting case of the Reverse Holder inequalities and the $A_\infty$ condition. 2011 Ohio River Analysis Meeting Cincinnati, OH, January 29-30, 2011 The limiting case of the Reverse Holder inequalities and the $A_\infty$ condition. University of Missouri Analysis Seminar Columbia, MO, November 16, 2010 The limiting case of the Reverse Holder inequalities and the $A_\infty$ condition. Tenth Prairie Analysis Seminar Lawrence, KS, October 29-30, 2010 Astala's Conjecture on Distortion of Hausdorff Measures under Quasiconformal Maps in the Plane by M.T. Lacey, E.T. Sawyer, I. Uriarte-Tuero UCLA Summer/Fall School: Weighted estimates for singular integrals Lake Arrowhead, CA, October 3-8, 2010 A new sharp version of Buckley's inequality 2010 Spring Western Section Meeting Albuquerque, NM, April 17-18, 2010 Linear bound for the dyadic paraproduct on weighted Lebesgue space $L_2(w)$ Michigan State University Analysis seminar East Lansing, MI, November 25, 2009 Linear bound on the norm of perfect dyadic operators on weighted Lebesgue spaces $L^2(w)$ , with respect to the $A_2$-constant of the weight $w$ 12th New Mexico Analysis Seminar Albuquerque, NM, April 23-25, 2009 Bounds on the norm of the dyadic paraproduct on weighted Lebesgue spaces Eight Prairie Analysis Seminar Lawrence, KS, November 7-8, 2008 Sharp bounds on the norm of the dyadic paraproduct on weighted Lebesgue spaces 11th New Mexico Analysis Seminar Las Cruces, NM, April 4-6, 2008 Bounds on the norm of the dyadic paraproduct on weighted Lebesgue spaces AMS Southwestern Regional Meeting Albuquerque, NM, October 13-14, 2007

## Classes Taught

 UNM 2001-2008: Trigonometry, Pre-calculus, Calculus I, Calculus II, Calculus III, Advanced Calculus, Mentoring through Critical Transition Points Mizzou 2008-2011: Calculus for Social Sciences, Calculus I, Calculus II, Calculus III Baylor 2011-now: Calculus I, Calculus II, Linear Algebra, Selected topics in Harmonic Analysis