Oleksandra V. Beznosova 

Александра Валерьевна Безносова 
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. 
Academic Experience
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 56, 2014 
 Joint AMS/MAA Mathematics Meeting, Atlanta, GA January 47, 2017 
 34th Southeastern Analysis Meeting (SEAM) conference, Tuscaloosa, AL, 2019 
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):813831, 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):307316, 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. 26:2747, 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, 11911236. 
4. 
O. Beznosova, P.A. Hagelstein.

Continuity of halo functions associated to homothecy invariant density bases. 
Colloq. Math. 134:235243, 2014. 
3. 
O. Beznosova, J.C. Moraes, M.C. Pereyra.

Sharp bounds for THaar multipliers on $L_2$. 
Contemporary Mathematics. Harmonic Analysis and PDE. 612:4564, 2014. 
2. 
O. Beznosova.

Linear bound for the dyadic paraproduct on weighted Lebesgue space $L_2(w)$. 
Journal of Functional Analysis, 255(no.4):9941007, 2008. 
1. 
O. Beznosova, V.I. Koltchinskii.

Exponential Convergence Rates in Classification. 
Lecture Notes in Computer Science, 3559:295307, 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 56, 2016

8. 
On the twoweighted estimates on the dyadic paraproduct. 
Biannual conference of the Royal Spanish Mathematic Society (RSME) 
Granada, Spain, February 26, 2015 
7. 
Continuity of halo functions associated to homothecy invariant dencity bases. 
Semester workshop Discrepancy Theory, ICERM, Brown University 
Providenxe, RI, October 2731, 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 30June 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 30April 1, 2012 
4. 
Equivallent forms of the $A_\infty$ condition and applications. 
Mini doccourse at Harmonic Analysis, Metric Spaces and Applications to PDE workshop. 
Seville, Spain, May 15July 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 1213, 2011. 
2. 
A New Sharp Version of Buckley's Inequality 
26th Southeastern Analysis Meeting (SEAM 2010). 
Atlanta, GA, March 2528 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 1618 2009. 
Classes Taught
UNM 20012008: 
Trigonometry, Precalculus, Calculus I, Calculus II, Calculus III, Advanced Calculus, Mentoring through Critical Transition Points 
Mizzou 20082011: 
Calculus for Social Sciences, Calculus I, Calculus II, Calculus III 
Baylor 20112014: 
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. 
Links
