Fedor Nazarov

Q: What Schools Are Affiliated With Fedor Nazarov

Fedor Nazarov is affiliated with the following schools: University of Wisconsin–Madison, Michigan State University, Kent State University, Saint Petersburg State University

Fedor Nazarov's AcademicInfluence.com Rankings

Fedor Nazarov

Mathematics

#1774

World Rank

#2838

Historical Rank

Measure Theory

#3223

World Rank

#3812

Historical Rank

mathematics Degrees

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Mathematics

Why Is Fedor Nazarov Influential?

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According to Wikipedia, Fedor L'vovich Nazarov is a Russian mathematician working in the United States. He has done research in mathematical analysis and its applications, in particular in functional analysis and classical analysis .

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Fedor Nazarov's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Global well-posedness for the critical 2D dissipative quasi-geostrophic equation (2006) (461)
TheTb-theorem on non-homogeneous spaces (2003) (340)
Weak type estimates and Cotlar inequalities for Calderón-Zygmund operators on nonhomogeneous spaces (1997) (310)
The Bellman functions and two-weight inequalities for Haar multipliers (1997) (308)
Cauchy integral and Calderón-Zygmund operators on nonhomogeneous spaces (1997) (205)
On the number of nodal domains of random spherical harmonics (2007) (197)
Intuitive dyadic calculus: The basics (2015) (193)
Blow up and regularity for fractal Burgers equation (2008) (177)
On the uniform rectifiability of AD-regular measures with bounded Riesz transform operator: the case of codimension 1 (2012) (145)
Variation on a theme of caffarelli and vasseur (2009) (144)
Asymptotic laws for the spatial distribution and the number of connected components of zero sets of Gaussian random functions (2015) (137)
Accretive system Tb-theorems on nonhomogeneous spaces (2002) (121)
Persistence and Permanence of Mass-Action and Power-Law Dynamical Systems (2010) (121)
Two weight inequalities for individual Haar multipliers and other well localized operators (2007) (102)
On Convex Bodies and Log-Concave Probability Measures with Unconditional Basis (2003) (87)
Bellman function in stochastic control and harmonic analysis (2001) (86)
Two weight estimate for the Hilbert transform and corona decomposition for non-doubling measures (2010) (82)
Perfect matchings as IID factors on non-amenable groups (2009) (78)
The Hörmander Proof of the Bourgain–Milman Theorem (2012) (76)
Sharp estimates in vector Carleson imbedding theorem and for vector paraproducts (2002) (70)
The Bellman function, the two-weight Hilbert transform, and embeddings of the model spacesKθ (2002) (62)
A remark on the Mahler conjecture: local minimality of the unit cube (2009) (60)
Fluctuations in random complex zeroes: Asymptotic normality revisited (2010) (58)
Trace reconstruction with exp(O(n1/3)) samples (2016) (58)
Counterexample to the infinite dimensional carleson embedding theorem (1997) (56)
Radial Fourier multipliers in high dimensions (2009) (55)
Heating of the Ahlfors–Beurling operator, and estimates of its norm (2004) (54)
On the Maximal Perimeter of a Convex Set in $ ℝ n $$\mathbb{R}^n$ with Respect to a Gaussian Measure (2003) (53)
Sign and area in nodal geometry of Laplace eigenfunctions (2004) (53)
Transportation to Random Zeroes by the Gradient Flow (2005) (51)
The Tb-theorem on non-homogeneous spaces that proves a conjecture of Vitushkin (2014) (51)
Global regularity for the critical dispersive dissipative surface quasi-geostrophic equation (2009) (47)
The Riesz transform, rectifiability, and removability for Lipschitz harmonic functions (2012) (47)
Convex body domination and weighted estimates with matrix weights (2017) (41)
The proof of $A_2$ conjecture in a geometrically doubling metric space (2011) (41)
Ball, Haagerup, and Distribution Functions (2000) (39)
Random Complex Zeroes and Random Nodal Lines (2010) (39)
Correlation Functions for Random Complex Zeroes: Strong Clustering and Local Universality (2010) (38)
THE POWER LAW FOR THE BUFFON NEEDLE PROBABILITY OF THE FOUR-CORNER CANTOR SET (2008) (37)
The Jancovici–Lebowitz–Manificat Law for Large Fluctuations of Random Complex Zeroes (2007) (36)
On generalized sum rules for Jacobi matrices (2003) (35)
Convolutions of cantor measures without resonance (2009) (34)
A Calderon Zygmund decomposition for multiple frequencies and an application to an extension of a lemma of Bourgain (2009) (34)
Large Deviations of Typical Linear Functionals on a Convex Body with Unconditional Basis (2003) (34)
The s-Riesz transform of an s-dimensional measure in ℝ2 is unbounded for 1 < s < 2 (2011) (32)
A Bellman function proof of the L2 bump conjecture (2012) (31)
LOWER BOUNDS FOR QUASIANALYTIC FUNCTIONS, I. HOW TO CONTROL SMOOTH FUNCTIONS (2002) (30)
A Simple Energy Pump for the Surface Quasi-geostrophic Equation (2011) (30)
Beurling–Malliavin multiplier theorem: The seventh proof (2006) (29)
Global estimates for kernels of Neumann series and Green's functions (2014) (29)
On the toeplitzness of composition operators (2007) (28)
A 1 CONJECTURE : WEAK NORM ESTIMATES OF WEIGHTED SINGULAR OPERATORS AND BELLMAN FUNCTIONS (2010) (26)
The local Tb theorem with rough test functions (2012) (26)
Vector‐valued Riesz potentials: Cartan‐type estimates and related capacities (2008) (25)
On Radial and Conical Fourier Multipliers (2010) (25)
A simple sharp weighted estimate of the dyadic shifts on metric spaces with geometric doubling (2011) (23)
A Bellman function counterexample to the $A_1$ conjecture: the blow-up of the weak norm estimates of weighted singular operators (2015) (19)
Log-integrability of Rademacher Fourier series, with applications to random analytic functions (2013) (18)
Three revolutions in the kernel are worse than one (2013) (17)
On the sharp upper bound related to the weak Muckenhoupt–Wheeden conjecture (2017) (17)
Sharp dilation-type inequalities with a fixed parameter of convexity (2008) (17)
The weighted norm inequalities for Hilbert transform are now trivial (1996) (15)
Local dimension-free estimates for volumes of sublevel sets of analytic functions (2001) (15)
Complete Version of Turan’s Lemma for Trigonometric Polynomials on the Unit Circumference (2000) (15)
ASZ-SIMONOVITS LEMMA, DIMENSION-FREE ESTIMATES FOR VOLUMES OF SUBLEVEL SETS OF POLYNOMIALS, AND DISTRIBUTION OF ZEROES OF RANDOM ANALYTIC FUNCTIONS. (2001) (14)
The fractional Riesz transform and an exponential potential (2012) (13)
The unit ball is an attractor of the intersection body operator (2011) (13)
On the local equatorial characterization of zonoids and intersection bodies (2008) (13)
Reflectionless measures with a point mass and singular continuous component (2007) (13)
An asymmetric convex body with maximal sections of constant volume (2012) (12)
Fluctuations in the number of nodal domains (2020) (11)
The sharp upper bound for the area of the nodal sets of Dirichlet Laplace eigenfunctions (2021) (11)
On the Totik–Widom Property for a Quasidisk (2018) (10)
On the Probability That a Stationary Gaussian Process With Spectral Gap Remains Non-negative on a Long Interval (2018) (10)
Hamming cube and martingales (2017) (10)
New estimates for the length of the Erdos-Herzog-Piranian lemniscate (2008) (10)
The Riesz Transform of Codimension Smaller Than One and the Wolff Energy (2016) (9)
Triple operator integrals in Schatten--von Neumann norms and functions of perturbed noncommuting operators (2015) (9)
Asymptotics of orthogonal polynomials via the Koosis theorem (2005) (9)
Asymptotics of the Best Polynomial Approximation of |x|p and of the Best Laurent Polynomial Approximation of sgn(x) on Two Symmetric Intervals (2009) (9)
The $s$-Riesz transform of an $s$-dimensional measure in $\R^2$ is unbounded for $1 (2011) (9)
On the number of maximal paths in directed last-passage percolation (2018) (8)
Two weight T 1 theorem for the Hilbert transform : the case of doubling measures (8)
Bellman approach to the one-sided bumping for weighted estimates of Calderón--Zygmund operators (2013) (8)
On weak weighted estimates of the martingale transform and a dyadic shift (2018) (8)
Fine approximation of convex bodies by polytopes (2017) (8)
On Weak Weighted Estimates of Martingale Transform (2016) (7)
Non-uniqueness of convex bodies with prescribed volumes of sections and projections (2011) (7)
Lower bounds for uncentered maximal functions in any dimension (2016) (7)
Square function and the Hamming cube: duality (2017) (7)
Lower bounds for quasianalytic functions, II The Bernstein quasianalytic functions. (2003) (6)
Functions of perturbed noncommuting self-adjoint operators (2014) (6)
Reflectionless Measures and the Mattila-Melnikov-Verdera Uniform Rectifiability Theorem (2013) (6)
A Function with Support of Finite Measure and “Small” Spectrum (2017) (6)
Grünbaum‐type inequality for log‐concave functions (2018) (6)
Covering a convex polygon by triangles with fixed vertices (1988) (5)
The measures with an associated square function operator bounded in L2 (2016) (5)
Bellman function , two weighted Hilbert transform , and embeddings of the model spaces (2004) (5)
Reinhardt's problem of lattice packings of convex domains: Local extremality of the Reinhardt octagon (1988) (5)
POLYNOMIAL ESTIMATES OF WEIGHTED DYADIC SHIFTS , AND A 2 CONJECTURE (2011) (5)
Reflectionless measures for Calderón–Zygmund operators II: Wolff potentials and rectifiability (2018) (5)
New Coins from Old, Smoothly (2008) (5)
Generalized Gr\"unbaum inequality (2017) (4)
Reflectionless measures for Calderón-Zygmund operators (2013) (4)
A SOLUTION OF THE BUMP CONJECTURE FOR ALL CALDERÓN – ZYGMUND OPERATORS : THE BELLMAN FUNCTION APPROACH (2012) (4)
On Weissler’s Conjecture on the Hamming Cube I (2019) (4)
Reflectionless measures for Calderón-Zygmund operators I: general theory (2018) (4)
Reflectionless measures for Calder\'{o}n-Zygmund operators (2013) (3)
Reflectionless measures for Calderón-Zygmund Operators I: Basic Theory (2014) (3)
Distribution of zeroes of Rademacher Taylor series (2015) (3)
In which dimensions is the ball relatively worst covering (2012) (3)
Functions of perturbed tuples of self-adjoint operators (2012) (3)
How many matrices can be spectrally balanced simultaneously? (2016) (2)
Carleson--Buckley measures beyond the scope of $A_\infty$ and their applications (2012) (2)
THE BEHAVIOR OF ITERATIONS OF THE INTERSECTION BODY OPERATOR IN A SMALL NEIGHBORHOOD OF THE UNIT BALL (2010) (2)
A solution to the fifth and the eighth Busemann-Petty problems in a small neighborhood of the Euclidean ball (2021) (2)
Generalized Grünbaum inequality (2017) (2)
Chemotaxis and Reactions in Biology (2020) (2)
On Some Property of Convex Functions and an Inequality for the Vandermonde Determinants (2004) (2)
The Buckley Dyadic Square Function (2012) (1)
Coarse equidistribution of the argument of entire functions of finite order (2004) (1)
The s-Riesz transform of an s-dimensional measure in ℝ2 is unbounded for 1 < s < 2 (2014) (1)
The matrix-weighted dyadic convex body maximal operator is not bounded (2022) (1)
1 Local estimates of exponential polynomials and their applications to inequalities of uncertainty principle type-part I after (2012) (1)
A simple upper bound for Lebesgue constants associated with Leja points on the real line (2021) (1)
Gelfand-type problem for turbulent jets (2019) (1)
On the theorems of Turan, Amrein-Berthier, and Zigmund (1996) (1)
On a factorization formula for the partition function of directed polymers (2021) (0)
Growth of matrix products and mixing properties of the horocycle flow (2010) (0)
Persistence of Gaussian Stationary Processes (2022) (0)
A Bellman function proof of the L2 bump conjecture (2013) (0)
A P ] 2 7 M ay 2 01 9 Gelfand-type problem for turbulent jets (2019) (0)
PR ] 1 2 D ec 2 01 6 Trace reconstruction with exp ( O ( n 1 / 3 ) ) samples (2018) (0)
ANALYTIC GAUSSIAN FUNCTIONS IN THE UNIT DISC: PROBABILITY OF ZEROS ABSENCE (2023) (0)
Correlation Functions for Random Complex Zeroes: Strong Clustering and Local Universality (2011) (0)
A pr 2 01 2 FUNCTIONS OF PERTURBED TUPLES OF SELF-ADJOINT OPERATORS (2012) (0)
On a Bellman function associated with the Chang–Wilson–Wolff theorem: a case study (2022) (0)
Instantaneous smoothing and exponential decay of solutions for a degenerate evolution equation with application to Boltzmann's equation (2022) (0)
ON WEAK AND STRONG SHARP WEIGHTED ESTIMATES OF SQUARE FUNCTION (2015) (0)
Reflectionless measures for Calderón-Zygmund operators I: general theory (2018) (0)
The non-existence of totally lower irregular $s$-dimensional measures with bounded Riesz transforms on the plane for $1< s<2$ (2011) (0)
Lerner's inequality in arbitrary dimension (2013) (0)
A pr 2 00 9 New coins from old , smoothly (2009) (0)
On the Maximum Principle for the Riesz Transform (2017) (0)
A basic homogenization problem for the $p$-Laplacian in ${\mathbb R}^d$ perforated along a sphere: $L^\infty$ estimates (2022) (0)
On Analytic Capacityof Portions of Continuumand a Theorem of Guy DavidF (2009) (0)
On the boundedness of non-integer dimension Calder\'on-Zygmund Operators with antisymmetric kernels (2016) (0)
BELLMAN FUNCTIONS AND TWO WEIGHT INEQUALITIESFOR (1997) (0)
How many matrices can be spectrally balanced simultaneously? (2018) (0)
Growth of matrix products and mixing properties of the horocycle flow (2012) (0)
Convolutions of cantor measures without resonance (2012) (0)
Characterization of two parameter matrix-valued BMO by commutator with the Hilbert transform (2018) (0)
1 The Power Law For The Buffon Needle Probability Of The Four-Corner Cantor Set after (2018) (0)

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What Schools Are Affiliated With Fedor Nazarov?

Fedor Nazarov is affiliated with the following schools: