V. D. Stepanov

2.5k total citations
138 papers, 1.7k citations indexed

About

V. D. Stepanov is a scholar working on Applied Mathematics, Mathematical Physics and Numerical Analysis. According to data from OpenAlex, V. D. Stepanov has authored 138 papers receiving a total of 1.7k indexed citations (citations by other indexed papers that have themselves been cited), including 111 papers in Applied Mathematics, 59 papers in Mathematical Physics and 18 papers in Numerical Analysis. Recurrent topics in V. D. Stepanov's work include Advanced Harmonic Analysis Research (87 papers), Differential Equations and Boundary Problems (83 papers) and Numerical methods in inverse problems (23 papers). V. D. Stepanov is often cited by papers focused on Advanced Harmonic Analysis Research (87 papers), Differential Equations and Boundary Problems (83 papers) and Numerical methods in inverse problems (23 papers). V. D. Stepanov collaborates with scholars based in Russia, Czechia and India. V. D. Stepanov's co-authors include E. P. Ushakova, Gord Sinnamon, Амиран Гогатишвили, Lars‐Erik Persson, Д. В. Прохоров, H. P. Heinig, Luboš Pick, Javier Soria, Marı́a J. Carro and Michael Braverman and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society.

In The Last Decade

V. D. Stepanov

120 papers receiving 1.3k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
V. D. Stepanov Russia	21	1.5k	697	204	147	64	138	1.7k
Sagun Chanillo United States	20	985 0.7×	553 0.8×	91 0.4×	452 3.1×	14 0.2×	67	1.2k
Richard O’Neil United States	10	722 0.5×	481 0.7×	43 0.2×	156 1.1×	37 0.6×	28	883
Seppo Hassi Finland	18	640 0.4×	862 1.2×	112 0.5×	637 4.3×	36 0.6×	76	1.1k
Ари Лаптев United Kingdom	16	441 0.3×	700 1.0×	33 0.2×	407 2.8×	91 1.4×	88	884
Dmitry Khavinson United States	17	853 0.6×	449 0.6×	29 0.1×	183 1.2×	32 0.5×	81	1.1k
M. M. Malamud Ukraine	20	754 0.5×	1.5k 2.1×	61 0.3×	947 6.4×	127 2.0×	111	1.6k
Svetlana Roudenko United States	12	424 0.3×	711 1.0×	42 0.2×	22 0.1×	34 0.5×	42	903
Steffen Roch Germany	15	606 0.4×	577 0.8×	41 0.2×	302 2.1×	47 0.7×	69	880
Michael Reissig Germany	18	685 0.5×	996 1.4×	93 0.5×	265 1.8×	16 0.3×	112	1.3k
Henk de Snoo Netherlands	17	447 0.3×	633 0.9×	83 0.4×	530 3.6×	24 0.4×	54	805

Countries citing papers authored by V. D. Stepanov

Since Specialization

Citations

This map shows the geographic impact of V. D. Stepanov'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 V. D. Stepanov with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites V. D. Stepanov more than expected).

Fields of papers citing papers by V. D. Stepanov

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by V. D. Stepanov. 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 V. D. Stepanov. The network helps show where V. D. Stepanov may publish in the future.

Co-authorship network of co-authors of V. D. Stepanov

This figure shows the co-authorship network connecting the top 25 collaborators of V. D. Stepanov. A scholar is included among the top collaborators of V. D. Stepanov 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 V. D. Stepanov. V. D. Stepanov is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Stepanov, V. D., et al.. (2025). On the Iterated Integral Operators on the Cone of Monotone Functions. Siberian Mathematical Journal. 66(2). 345–363.

Stepanov, V. D. & E. P. Ushakova. (2023). Weighted Hardy inequality with two-dimensional rectangular operator: the case q<p. Mathematical Inequalities & Applications. 267–288.

Аржанников, А. В., S. L. Sinitsky, P. V. Kalinin, et al.. (2023). Pulsed Power and Spectrum Composition of the Terahertz Radiation Flux Escaping from a Plasma Column Due to Propagation Through it of a Relativistic Electron Beam with Various Current Densities (GOL–PET Facility Experiments). Radiophysics and Quantum Electronics. 66(7-8). 538–547.

Arzhannikov, A. V., І. A. Ivanov, A. A. Kasatov, et al.. (2020). Well-directed flux of megawatt sub-mm radiation generated by a relativistic electron beam in a magnetized plasma with strong density gradients. Plasma Physics and Controlled Fusion. 62(4). 45002–45002. 24 indexed citations

Jain, Pankaj, Sandhya Jain, & V. D. Stepanov. (2020). LCT BASED INTEGRAL TRANSFORMS AND HAUSDORFF OPERATORS. 11(1). 57–71. 7 indexed citations

Прохоров, Д. В., V. D. Stepanov, & E. P. Ushakova. (2019). Characterization of the function spaces associated with weighted Sobolev spaces of the first order on the real line. Russian Mathematical Surveys. 74(6). 1075–1115. 4 indexed citations

Stepanov, V. D. & E. P. Ushakova. (2019). Bilinear Hardy-type inequalities in weighted Lebesgue spaces. Nonlinear studies. 26(4). 939–953. 5 indexed citations

Прохоров, Д. В., V. D. Stepanov, & E. P. Ushakova. (2018). Associated Spaces to Weighted Sobolev Spaces on the Real Line. Доклады Академии наук. 481(5). 486–489. 2 indexed citations

Stepanov, V. D., et al.. (2017). On bilinear weighted inequalities on the cone of nondecreasing functions. Doklady Mathematics. 96(3). 631–635. 7 indexed citations

10.

Stepanov, V. D., et al.. (2017). On the boundedness of quasilinear integral operators of iterated type with Oinarov's kernels on the cone of monotone functions. 8(2). 47–73. 3 indexed citations

11.

Stepanov, V. D.. (2015). On optimal Banach spaces containing a weighted cone of monotone or quasi-concave functions. Doklady Mathematics. 92(2). 545–547. 2 indexed citations

12.

Гогатишвили, Амиран & V. D. Stepanov. (2013). Reduction theorems for operators on the cones of monotone functions. Journal of Mathematical Analysis and Applications. 405(1). 156–172. 23 indexed citations

13.

Persson, Lars‐Erik, et al.. (2010). Two-sided Hardy-type inequalities for monotone functions. Complex Variables and Elliptic Equations. 55(8-10). 973–989. 8 indexed citations

14.

Stepanov, V. D. & E. P. Ushakova. (2010). On boundedness of a certain class of Hardy--Steklov type operators in Lebesgue spaces. Banach Journal of Mathematical Analysis. 4(1). 28–52. 13 indexed citations

15.

Stepanov, V. D.. (2008). An extremal property of Jacobi polynomials in two-sided Chernoff-type inequalities for higher order derivatives. Proceedings of the American Mathematical Society. 136(5). 1589–1597. 2 indexed citations

16.

Stepanov, V. D. & Lars‐Erik Persson. (2001). On weighted integral inequalities with the geometric average. Doklady Mathematics. 63(2). 201–202. 1 indexed citations

17.

Stepanov, V. D., et al.. (1999). On maximal overdetermined Hardy's inequality of second order on a finite interval. Mathematica Bohemica. 124(2). 293–302. 4 indexed citations

18.

Edmunds, D. E. & V. D. Stepanov. (1995). On the Singular Numbers of Certain Volterra Integral Operators. Journal of Functional Analysis. 134(1). 222–246. 18 indexed citations

19.

Heinig, H. P. & V. D. Stepanov. (1993). Weighted Hardy Inequalities for Increasing Functions. Canadian Journal of Mathematics. 45(1). 104–116. 36 indexed citations

20.

Stepanov, V. D., et al.. (1984). ON THE SOLVABILITY OF SOME INVERSE PROBLEMS OF LASER-RADIATION FOCUSING. Proceedings of the USSR Academy of Sciences. 279(1). 68–71. 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.

Explore authors with similar magnitude of impact