Oleksandra V. Beznosova University of Alabama
Александра Валерьевна Безносова

University of Alabama - Department of Mathematics Oleksandra and Mary Beznosova - Александра Безносова
Department of Mathematics
The University of Alabama
(254) 252-7062
alexbeznosova AT yahoo.com
ovbeznosova AT ua.edu
Curriculum Vitae (CV)

Research Interests

My research speciality is harmonic and Fourier analysis. Topics of particular interests to me include weighted norm inequalities, PDE's, discrepancy theory, 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

Tenure-track Assistant Professor University of Alabama, Tuscaloosa, AL August 2014 - current.
Postdoc, Assistant Research Professor Baylor University, Waco, TX August 2011 - July 2014.
Postdoctoral Fellow University of Missouri, Columbia, MO August 2008 - July 2011.

Service and Review

NSF review panel member, 2011 - 2012.
Reviewer & Referee:Croatian Science Foundation, Indiana University Mathematics Journal, Journal of Mathematical Analysis and Applications, Journal of Functional Analysis, Journal of Geometric Analysis, Applied and Computational Harmonic Analysis, Journal of Mathematical Inequalities
Organizer:AMS Western Spring Sectional Meeting #1099, UNM, Albuquerque, NM April 5-6, 2014
Joint AMS/MAA Mathematics Meeting, Atlanta, GA January 4-7, 2017
34th Southeastern Analysis Meeting (SEAM) conference, Tuscaloosa, AL, 2019

Publications [Citations] [ArXiv]

10. O. Beznosova, A. Reznikov.
Dimension free properties of strong Muckenhoupt and Reverse Holder weights for Radon measures. The Journal of Geometric Analysis, accepted, 2018.
9. O. Beznosova.
Perfect dyadic operators: weighted T(1) theorem and two weight estimates. JMAA vol.439(2):813-831, 2016.
8. O. Beznosova, D. Chung, J.C. Moraes, M.C. Pereyra.
On two weight estimates for dyadic operators. Harmonic Analysis, PDE, Complex Analysis, Banach Spaces, and Operator Theory Celebrating Cora Sadosky's Life, Volume II. AWM Series, Springer. , 2017
7. O. Beznosova, T.E. Ode.
Mutual estimates for the dyadic Reverse Holder and Muckenhoupt constants for the dyadically doubling weights. Involve vol.9(2):307-316, 2016.
6. O. Beznosova, A.B. Reznikov.
Sharp estimates involving $A_\infty$ and $L\log L$ constants, and their applications to PDE. St. Petersburg Math. J. 26:27-47, 2015.
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. Revista Matemática Iberoamericana, Vol 30(4), 2014, 1191-1236.
4. O. Beznosova, P.A. Hagelstein.
Continuity of halo functions associated to homothecy invariant density bases. Colloq. Math. 134:235-243, 2014.
3. O. Beznosova, J.C. Moraes, M.C. Pereyra.
Sharp bounds for T-Haar multipliers on $L_2$. Contemporary Mathematics. Harmonic Analysis and PDE. 612:45-64, 2014.
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. Lecture Notes in Computer Science, 3559:295-307, 2005.

Invited and Plenary Talks

10. The star discrepancy conjecture. Computational Analysis Seminar Vanderbilt University, March 16, 2016
9. Weighted T(1) theorem and two weight inequalities for perfect dyadic operators. Spring Southeastern Sectional Meeting University of Georgia, Athens, GA, March 5-6, 2016
8. On the two-weighted estimates on the dyadic paraproduct. Biannual conference of the Royal Spanish Mathematic Society (RSME) Granada, Spain,
February 2-6, 2015
7. Continuity of halo functions associated to homothecy invariant dencity bases. Semester workshop Discrepancy Theory, ICERM, Brown University Providenxe, RI,
October 27-31, 2014
6. Muckenhoupt and Reverse Holder classes of weights via summation conditions. Workshop for Women in Analysis and PDE, University of Minnesota. 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.

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 2011-2014: Calculus I, Calculus II, Linear Algebra, Selected topics in Harmonic Analysis, Topics in Harmonic Analysis: Bellman Functions, Construction and Evaluation of Actuarial models
UA 2014-: Calculus II, Calculus III, Intro to Probability, Discrete Mathematics, Analysis I.


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