Alexander Volberg

5.4k total citations · 1 hit paper
122 papers, 2.3k citations indexed

About

Alexander Volberg is a scholar working on Applied Mathematics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Alexander Volberg has authored 122 papers receiving a total of 2.3k indexed citations (citations by other indexed papers that have themselves been cited), including 105 papers in Applied Mathematics, 70 papers in Mathematical Physics and 18 papers in Geometry and Topology. Recurrent topics in Alexander Volberg's work include Advanced Harmonic Analysis Research (63 papers), Holomorphic and Operator Theory (43 papers) and Mathematical Analysis and Transform Methods (39 papers). Alexander Volberg is often cited by papers focused on Advanced Harmonic Analysis Research (63 papers), Holomorphic and Operator Theory (43 papers) and Mathematical Analysis and Transform Methods (39 papers). Alexander Volberg collaborates with scholars based in United States, France and Russia. Alexander Volberg's co-authors include Fëdor Nazarov, Sergei Treil, Alexander Kiselev, Stefanie Petermichl, Sergeĭ Konyagin, Xavier Tolsa, Peter Yuditskii, Zoltán M. Balogh, Svitlana Mayboroda and Mikhail Sodin and has published in prestigious journals such as Communications in Mathematical Physics, Journal of Mathematical Analysis and Applications and Inventiones mathematicae.

In The Last Decade

Alexander Volberg

113 papers receiving 2.0k citations

Hit Papers

Global well-posedness for the critical 2D dissipative qua... 2006 2026 2012 2019 2006 50 100 150 200 250
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
    2006 293 citations Fëdor Nazarov, Alexander Volberg et al. profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Alexander Volberg United States 22 2.1k 1.2k 294 238 169 122 2.3k
Fëdor Nazarov United States 21 1.6k 0.8× 1.1k 0.9× 232 0.8× 194 0.8× 101 0.6× 81 1.9k
Anthony Carbery United Kingdom 21 1.1k 0.5× 650 0.5× 150 0.5× 147 0.6× 112 0.7× 82 1.3k
Thomas Wolff United States 19 1.0k 0.5× 845 0.7× 334 1.1× 214 0.9× 106 0.6× 47 1.4k
Michael Christ United States 32 2.8k 1.4× 2.1k 1.7× 372 1.3× 355 1.5× 200 1.2× 95 3.4k
Richard Rochberg United States 24 2.3k 1.1× 1.1k 0.9× 169 0.6× 275 1.2× 87 0.5× 82 2.5k
Stephen Semmes United States 26 2.1k 1.0× 949 0.8× 452 1.5× 797 3.3× 60 0.4× 66 2.4k
Alan McIntosh Australia 21 1.7k 0.8× 1.2k 0.9× 579 2.0× 65 0.3× 87 0.5× 78 2.0k
S. G. Kreĭn Ukraine 13 1.0k 0.5× 921 0.8× 337 1.1× 84 0.4× 218 1.3× 35 1.5k
Thomas Ransford Canada 18 1.1k 0.6× 607 0.5× 276 0.9× 605 2.5× 102 0.6× 96 1.6k
Jean-Michel Bony France 11 1.2k 0.6× 975 0.8× 333 1.1× 135 0.6× 89 0.5× 33 1.5k

Countries citing papers authored by Alexander Volberg

Since Specialization
Citations

This map shows the geographic impact of Alexander Volberg's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Alexander Volberg with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Alexander Volberg more than expected).

Fields of papers citing papers by Alexander Volberg

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Alexander Volberg. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Alexander Volberg. The network helps show where Alexander Volberg may publish in the future.

Co-authorship network of co-authors of Alexander Volberg

This figure shows the co-authorship network connecting the top 25 collaborators of Alexander Volberg. A scholar is included among the top collaborators of Alexander Volberg based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Alexander Volberg. Alexander Volberg is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Volberg, Alexander, et al.. (2024). Bohnenblust–Hille inequality for cyclic groups. Advances in Mathematics. 452. 109824–109824.
2.
Volberg, Alexander, et al.. (2023). The Buffon's needle problem for random planar disk-like Cantor sets. Journal of Mathematical Analysis and Applications. 529(2). 127622–127622.
3.
Arcozzi, Nicola, et al.. (2019). A combinatorial property of planar measures and bi-parameter Carleson embeddings with product weights. arXiv (Cornell University). 2 indexed citations
4.
Reznikov, Alexander, E. B. Saff, & Alexander Volberg. (2017). Covering and separation of Chebyshev points for non-integrable Riesz potentials. Journal of Complexity. 46. 19–44. 1 indexed citations
5.
Smith, Wayne, Dmitriy Stolyarov, & Alexander Volberg. (2017). Uniform approximation of Bloch functions and the boundedness of the integration operator on H∞. Advances in Mathematics. 314. 185–202. 9 indexed citations
6.
Nazarov, Fëdor, Stefanie Petermichl, Sergei Treil, & Alexander Volberg. (2017). Convex body domination and weighted estimates with matrix weights. Advances in Mathematics. 318. 279–306. 27 indexed citations
7.
Nazarov, Fëdor, Xavier Tolsa, & Alexander Volberg. (2014). The Riesz transform, rectifiability, and removability for Lipschitz harmonic functions. Publicacions Matemàtiques. 58(2). 517–532. 12 indexed citations
8.
Volberg, Alexander, et al.. (2013). Неоднородный гармонический анализ: 16 лет развития. Успехи математических наук. 68(6(414)). 3–58. 5 indexed citations
9.
Smith, Wayne & Alexander Volberg. (2011). A conformal mapping example. Comptes Rendus Mathématique. 349(9-10). 511–514. 1 indexed citations
10.
Volberg, Alexander, et al.. (2009). Bellman function and bilinear embedding theorem for Schrödinger-type operators. Comptes Rendus Mathématique. 347(9-10). 537–540. 1 indexed citations
11.
Peherstorfer, Franz, Alexander Volberg, & Peter Yuditskii. (2007). Two-weight Hilbert transform and Lipschitz property of Jacobi matrices associated to hyperbolic polynomials. Journal of Functional Analysis. 246(1). 1–30. 5 indexed citations
12.
Petermichl, Stefanie, et al.. (2006). A rotation method which gives linear Lp estimates for powers of the Ahlfors–Beurling operator. Journal de Mathématiques Pures et Appliquées. 86(6). 492–509. 11 indexed citations
13.
Volberg, Alexander. (2003). Calderón-Zygmund Capacities and Operators on Nonhomogeneous Spaces. 57 indexed citations
14.
Volberg, Alexander. (2002). Bellman approach to some problems in harmonic analysis. French digital mathematics library (Numdam). 1–14. 5 indexed citations
15.
Esterlé, Jean & Alexander Volberg. (2001). ANALYTIC LEFT-INVARIANT SUBSPACES OF WEIGHTED HILBERT SPACES OF SEQUENCES. Journal of Operator Theory. 45(2). 265–301. 5 indexed citations
16.
Volberg, Alexander. (1997). Matrix $A_p$ weights via $S$-functions. Journal of the American Mathematical Society. 10(2). 445–466. 52 indexed citations
17.
Treil, Sergei & Alexander Volberg. (1997). Wavelets and the Angle between Past and Future. Journal of Functional Analysis. 143(2). 269–308. 95 indexed citations
18.
Balogh, Zoltán M. & Alexander Volberg. (1996). Boundary Harnack Principle for separated semihyperbolic repellers, harmonic measure applications. Revista Matemática Iberoamericana. 12(2). 299–336. 12 indexed citations
19.
Volberg, Alexander. (1991). A criterion on a subdomain of the disc for its harmonic measure to be comparable with Lebesgue measure. Proceedings of the American Mathematical Society. 112(1). 153–162. 1 indexed citations
20.
Volberg, Alexander & Boris Solomyak. (1987). Multiplicity of the spectrum of toeplitz operators, weighted cocycles and the vector riemann problem. Functional Analysis and Its Applications. 21(3). 175–183. 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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