Another of our former postdocs (still at Imperial College London), and an associated collaborator of our Ghent Analysis and PDE Centre, Dr Durvudkhan Suragan, featured on Kazakh TV, in a special program about him and his achievements.

Congratulations, Durvudkhan!

It is very rewarding to see current and former students and postdocs being recognised for their achievements!

Watch it on Youtube:

Also, with the appearance of Dr Berikbol Torebek:

Recently: another of our associated member, Dr Erkinjon Karimov, on Uzbek State TV, read here.

Our books with Durvudkhan Suragan:

1. Ashyralyev A., Kalmenov T., Ruzhansky M., Sadybekov M., Suragan D. (Eds.) Functional Analysis in Interdisciplinary Applications II, Springer Proceedings in Mathematics & Statistics, Springer, 2020, to appear
2. Ruzhansky M., Suragan D., Hardy inequalities on homogeneous groups: 100 years of Hardy inequalities, Progress in Mathematics, Vol. 327, Birkhauser, 2019. xvi+588pp. link, free download (open access book), poster, the winner of  Ferran Sunyer I Balaguer Prize 2018
3. Ruzhansky M., Sadybekov M., Suragan D., Spectral geometry of partial differential operators, Monographs and Research Notes in Mathematics, Chapman and Hall/CRC Press, 2020. 378pp. link, free download (open access book), poster

Our papers with Durvudkhan Suragan:

1. Restrepo J., Ruzhansky M., Suragan D., Explicit representations of solutions for linear fractional differential equations with variable coefficients. arxiv
2. Kassymov A., Ruzhansky M., Suragan D., Reverse Stein-Weiss, Hardy-Littlewood-Sobolev, Hardy, Sobolev and Caffarelli-Kohn-Nirenberg inequalities on homogeneous groups, arxiv
3. Kassymov A., Ruzhansky M., Suragan D., Reverse integral Hardy inequalities on metric measure spaces. arxiv
4. Ruzhansky M., Sabitbek B., Suragan D., Geometric Hardy inequalities on starshaped sets. arxiv
5. Ruzhansky M., Sabitbek B., Suragan D., Geometric Hardy and Hardy-Sobolev inequalities on Heisenberg groups. Bull. Math. Sci., to appear. arxiv
6. Kassymov A., Ruzhansky M., Suragan D., Anisotropic fractional Gagliardo-Nirenberg, weighted Caffarelli-Kohn-Nirenberg and Lyapunov-type inequalities, and applications to Riesz potentials and p-sub-Laplacian systems. arxiv
7. Ruzhansky M., Sabitbek B., Suragan D., Subelliptic geometric Hardy type inequalities on half-spaces and convex domains. Ann. Funct. Anal., to appear. arxiv
8. Ruzhansky M., Suragan D., Yessirkegenov N., Euler semigroup, Hardy-Sobolev and Gagliardo-Nirenberg type inequalities on homogeneous groups. Semigroup Forum, to appear. link (open access), arxiv
9. Ruzhansky M., Suragan D., Green’s identities, comparison principle and uniqueness of positive solutions for nonlinear p-sub-Laplacian equations on stratified Lie groups, Potential Analysis, to appear. arxiv, link
10. Ruzhansky M., Sabitbek B., Suragan D., Hardy and Rellich inequalities for anisotropic p-sub-Laplacians, Banach J. Math. Anal., 14 (2020), 380-398. link, arxiv
11. Kassymov A., Ruzhansky M., Suragan D., Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groups. NoDEA Nonlinear Differential Equations Appl., 27 (2020), no. 1, Paper No. 7. link
12. Ruzhansky M., Suragan D., Critical Hardy inequalities, Ann. Acad. Sci. Fenn. Math., 44 (2019), 1159-1174. link (download), arxiv
13. Kassymov A., Ruzhansky M., Suragan D., Hardy-Littlewood-Sobolev and Stein-Weiss inequalities on homogeneous Lie groups. Integral Transforms and Special Functions, 30 (2019), 643-655. link, arxiv
14. Ruzhansky M., Sabitbek B., Suragan D., Weighted anisotropic Hardy and Rellich type inequalities for general vector fields, NoDEA Nonlinear Differential Equations Appl., 26 (2019), no. 2, 26:13. link, arxiv
15. Kalmenov T. Sh., Ruzhansky M., Suragan D., On spectral and boundary properties of the volume potential for the Helmholtz equation. Math. Model. Nat. Phenom., 14 (2019), no. 5, Art. 502, 11 pp. link
16. Ozawa T., Ruzhansky M., Suragan D., L^p-Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups, Quart. J. Math., 70 (2019), 305-318. arxiv, link, offprint (open access)
17. Ruzhansky M., Sabitbek B., Suragan D., Weighted L^p-Hardy and L^p-Rellich inequalities with boundary terms on stratified Lie groups, Rev. Mat. Complutense, 32 (2019), 19-35. enhanced pdf (open access), arxiv, link
18. Ruzhansky M., Suragan D., A note on stability of Hardy inequalities, Ann. Funct. Anal., 9 (2018), 451-462. arxiv, link
19. Ruzhansky M., Suragan D., A comparison principle for nonlinear heat Rockland operators on graded groups, Bull. Lond. Math. Soc., 50 (2018), 753-758. enhanced pdf (open access), arxiv, link
20. Ruzhansky M., Suragan D., Elements of potential theory on Carnot groups, Funct. Anal. Appl., 52 (2018), 158-161. link(eng), link (rus)
21. Ruzhansky M., Suragan D., Yessirkegenov N., Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces, Fract. Calc. Appl. Anal., 21 (2018), 577-612. arxiv, link
22. Ruzhansky M., Suragan D., Yessirkegenov N., Extended Caffarelli-Kohn-Nirenberg inequalities, and remainders, stability and superweights for Lp-weighted Hardy inequalities, Trans. Amer. Math. Soc. Ser. B, 5 (2018), 32-62. offprint (open access), link, arxiv
23. Ruzhansky M., Suragan D., Yessirkegenov N., Sobolev type inequalities, Euler-Hilbert-Sobolev and Sobolev-Lorentz-Zygmund spaces on homogeneous groups, Integral Equations Operator Theory, 90 (2018), no. 1, 90:10. enhanced pdf (open access), arxiv, link
24. Ruzhansky M., Suragan D., Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups, Adv. Math., 317 (2017), 799-822. offprint (open access), arxiv, link
25. Ruzhansky M., Suragan D., Anisotropic L²-weighted Hardy and L²-Caffarelli-Kohn-Nirenberg inequalities, Commun. Contemp. Math., 19 (2017), no. 6, 1750014, 12pp. offprint (open access), arxiv, link
26. Ruzhansky M., Suragan D., Yessirkegenov N., Caffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified Lie groups, NoDEA Nonlinear Differential Equations Appl, 24 (2017), no. 5, 24:56. offprint (open access), arxiv, link
27. Ruzhansky M., Suragan D., Geometric maximizers of Schatten norms of some convolution type integral operators, J. Math. Anal. Appl., 456 (2017), 444-456. arXiv, link
28. Ruzhansky M., Suragan D., Yessirkegenov N., Extended Caffarelli-Kohn-Nirenberg inequalities and superweights for L^p-weighted Hardy inequalities, C. R. Acad. Sci. Paris, 355 (2017), 694-698. offprint (open access), link
29. Ruzhansky M., Suragan D., Uncertainty relations on nilpotent Lie groups, Proc. R. Soc. A, 473 (2017), no. 2201, 20170082, 12pp. offprint (open access), arxiv, link
30. Ruzhansky M., Suragan D., Isoperimetric inequalities for some integral operators arising in potential theory, in Functional Analysis in Interdisciplinary Applications. FAIA 2017, 320-329, Springer Proceedings in Mathematics & Statistics, vol 216, Springer, 2017. arxiv, link
31. Ruzhansky M., Suragan D., Local Hardy and Rellich inequalities for sums of squares of vector fields, Adv. Diff. Equations, 22 (2017), 505-540. arxiv, link
32. Garofalo N., Ruzhansky M., Suragan D., On Green functions for Dirichlet sub-Laplacians on H-type groups, J. Math. Anal. Appl., 452 (2017), 896-905. offprint (open access), link, arxiv
33. Ruzhansky M., Suragan D., Layer potentials, Green formulae, Kac problem, and refined Hardy inequality on homogeneous Carnot groups, Adv. Math., 308 (2017), 483-528. offprint (open access), arxiv, link
34. Ruzhansky M., Suragan D., On horizontal Hardy, Rellich, Caffarelli-Kohn-Nirenberg and p-sub-Laplacian inequalities on stratified groups, J. Differential Equations, 262 (2017), 1799-1821. offprint (open access), arxiv, link
35. Ruzhansky M., Suragan D., On first and second eigenvalues of Riesz transforms in spherical and hyperbolic geometries, Bull. Math. Sci., 6 (2016), 325-334. offprint (open access), arxiv, link
36. Rozenblum G., Ruzhansky M., Suragan D., Isoperimetric inequalities for Schatten norms of Riesz potentials, J. Funct. Anal., 271 (2016), 224-239. offprint (open access), arxiv, link
37. Ruzhansky M., Suragan D., On Schatten norms of convolution-type integral operators, Russ. Math. Surv., 71 (2016),157-158. link
38. Ruzhansky M., Suragan D., On Kac principle of not feeling the boundary for the Kohn Laplacian on the Heisenberg group, Proc. Amer. Math. Soc., 144 (2016), 709-721. arxiv, link
39. Ruzhansky M., Suragan D., Isoperimetric inequalities for the logarithmic potential operator, J. Math. Anal. Appl.,434 (2016), 1676-1689. offprint (open access), arxiv, link