I am a PhD student at Ghent University, with the joint program between Ghent University and Al-Farabi Kazakh National University.
My supervisors are Professor Michael Ruzhansky and Assoc. Professor Durvudkhan Suragan. I am interested in harmonic analysis, sub-elliptic functional inequalities, spectral geometry and PDE. My work concerns mainly in the functional inequalities on Lie groups and its applications to PDE.
The list of publications:
- Kassymov A., Ruzhansky M., Suragan D., Reverse Stein-Weiss, Hardy-Littlewood-Sobolev, Hardy, Sobolev and Caffarelli-Kohn-Nirenberg inequalities on homogeneous groups, arxiv
- Kassymov A., Ruzhansky M., Suragan D., Reverse integral Hardy inequalities on metric measure spaces. arxiv
- 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
- Kassymov A., Ruzhansky M., Suragan D., Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groups. NoDEA Nonlinear Differential Equations Appl., to appear. link
- Kassymov, Aidyn; Ruzhansky, Michael; Suragan, Durvudkhan Hardy-Littlewood-Sobolev and Stein-Weiss inequalities on homogeneous Lie groups. Integral Transforms Spec. Funct. 30 (2019), no. 8, 643–655.
- Kal’menov, Tynysbek Sh.; Kassymov, Aidyn; Suragan, Durvudkhan Isoperimetric inequalities for the heat potential operator. Filomat 32 (2018), no. 3, 903–910.
- Kal’menov, Tynysbek Sh.; Kassymov, Aidyn; Suragan, Durvudkhan Isoperimetric inequalities for the Cauchy-Dirichlet heat operator. Filomat 32 (2018), no. 3, 885–892.
- Tulenov, Kanat Serikovich; Akhymbek, Meiram Erkanatuly; Kassymov, Aidyn Adilovich Clarkson inequalities on Lp(Gˆ) space associated with compact Lie group. J. Pseudo-Differ. Oper. Appl. 9 (2018), no. 2, 443–450.
- Kassymov, Aidyn; Suragan, Durvudkhan Some spectral geometry inequalities for generalized heat potential operators. Complex Anal. Oper. Theory 11 (2017), no. 6, 1371–1385.
- Kassymov, A.; Sadybekov, M.; Suragan, D. On isoperimetric inequalities for the Cauchy-Robin heat operator. Math. Model. Nat. Phenom. 12 (2017), no. 3, 114–118.
- Kal’menov, Tynysbek; Kassymov, Aidyn; Suragan, Durvudkhan On s-number inequalities of triangular cylinders for the heat operator. Functional analysis in interdisciplinary applications, 349–362, Springer Proc. Math. Stat., 216, Springer, Cham, 2017.