Oleksandra V. Beznosova

Александра Валерьевна Безносова


Baylor University Oleksandra Beznosova - Александра Безносова
Department of Mathematics
Baylor University
One Bear Place #97328
Waco, TX 76798-7328, USA
(254) 252-7062
alexbeznosova@yahoo.com
Oleksandra_Beznosova@baylor.edu
Curriculum Vitae (CV) (January 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.

Academic Experience

Postdoctoral Visiting Professor Baylor University, Waco, TX August 2011 - current.
Postdoctoral Fellow University of Missouri, Columbia, MO August 2008 - July 2011.
Teaching Assistant University of New Mexico, Albuquerque, NM August 2001 - July 2008.

NSF Service

NSF review panel member, 2011 - 2012.

Publications

7. O. Beznosova, A. 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. Submitted, 2012.
6. O. Beznosova, A. Reznikov.
Cited by 2
Sharp estimates involving $A_\infty$ and $L\log L$ constants, and their applications to PDE. Submitted, 2011.
5. O. Beznosova.
Cited by 25
Linear bound for the dyadic paraproduct on weighted Lebesgue space $L_2(w)$. Journal of Functional Analysis, 255(no.4):994-1007, 2008.
4. V. Koltchinskii, O. Beznosova.
Cited by 5
Exponential Convergence Rates in Classification. COLT 2005 : 295-307, 2005.
3. O. Beznosova, O.I.Beznosova., E.P.Semagina. Mathematical models and algorithms for the analysis of the overloads in transmission lines. Вісник Нац. універ. „Львівська політехніка”, 421:7-11, Lviv 2001.
2. O. Beznosova, B. Krylov. W-transformation and its applications in spectral signal analysis. Collection of works of young scientists, NTUU "KPI", Kyiv 2000.
1. O. Beznosova The perfect dyadic Calderon-Zygmund singular integral operator. In preparation.

Invited Speaker

1. 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.
2. 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.
3. A New Sharp Version of Buckley's Inequality 26th Southeastern Analysis Meeting (SEAM 2010). Atlanta, GA,
March 25-28 2010.
4. 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.

Incoming Talks

2012 AMS Spring Central Section Meeting, Lawrence, KS, March 30-April 1, 2012
Workshop for Women in Analysis and PDE, Minneapolis, MN, May 30-June 2, 2012

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

Photos

Macro, Nature and Wildlife Photography

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