Oleksandra V. Beznosova

Александра Валерьевна 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) (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.

Academic Experience

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. [Cited by 4]	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. [Cited by 5]	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. [Cited by 31]	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. [Cited by 8]	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

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