Articles

Preprints202120202019>2018
  1. Verma D., Ruzhansky M., Hardy inequalities on metric measure spaces, II: The case p>q. arxiv
  2. Cardona D., Ruzhansky M., Fourier multipliers for Triebel-Lizorkin spaces on compact Lie groups. arxiv
  3. Restrepo J., Ruzhansky M., Suragan D., Generalized fractional Dirac type operators. arxiv
  4. Hong Q., Hu G., Ruzhansky M., Fourier multipliers for Hardy spaces on graded Lie groups. arxiv
  5. Ruzhansky M., Sabitbek B., Hardy and Rellich inequalities with Bessel pairs. arxiv
  6. Cardona D., Kumar V., Ruzhansky M., Tokmagambetov N., Expansion of traces and Dixmier traceability for global pseudo-differential operators on manifolds with boundary. arxiv
  7. Cardona D., Ruzhansky M., Fourier multipliers for Triebel-Lizorkin spaces on graded Lie groups. arxiv
  8. Kumar V., Ruzhansky M., Lp–Lq boundedness of (k, a)-Fourier multipliers with applications to nonlinear equations. arxiv
  9. Cardona D., Kumar V., Ruzhansky M., Tokmagambetov N., Global functional calculus, lower/upper bounds and evolution equations on manifolds with boundary. arxiv
  10. Akylzhanov R., Kuznetsova Yu., Ruzhansky M., Zhang H., Norms of certain functions of the Laplace operator on the ax+b groups. arxiv
  11. Cardona D., Delgado J., Ruzhansky M., Determinants and Plemelj-Smithies formulas. arxiv
  12. Cardona D., Ruzhansky M., Subelliptic pseudo-differential operators and Fourier integral operators on compact Lie groups. arxiv
  13. Rodriguez Torijano C. A.., Ruzhansky M., Subelliptic wave equations with log-Lipschitz coefficients. arxiv
  14. Restrepo J., Ruzhansky M., Suragan D., Explicit representations of solutions for linear fractional differential equations with variable coefficients. arxiv
  15. Kassymov A., Ruzhansky M., Torebek B., Rayleigh-Faber-Krahn, Lyapunov and Hartmann-Wintner inequalities for fractional elliptic problems. arxiv
  16. Ruzhansky M., Tokmagambetov N., Torebek B., A projection model of COVID-19 pandemic for Belgium. medRxiv, paper
  17. Altybay A., Ruzhansky M., Sebih M., Tokmagambetov N., Tsunami propagation for singular topographies. arxiv
  18. Ruzhansky M., Yessirkegenov N., A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups. arxiv
  19. Ruzhansky M., Serikbaev D., Tokmagambetov N., Torebek B., Direct and inverse problems for time-fractional pseudo-parabolic equations. arxiv
  20. Kumar V., Ruzhansky M., Hardy-Littlewood inequality and Lp–Lq Fourier multipliers on compact hypergroups. arxiv
  21. Ruzhansky M., Torebek B., Van der Corput lemmas for Mittag-Leffler functions. II. α-directions. arxiv
  22. Cardona D., Kumar V., Ruzhansky M., Tokmagambetov N., Lp–Lq boundedness of pseudo-differential operators on smooth manifolds and its applications to nonlinear equations. arxiv
  23. Federico S., Ruzhansky M., Smoothing and Strichartz estimates for degenerate Schrödinger-type equations. arxiv
  24. Karimov E., Ruzhansky M., Tokmagambetov N., Cauchy type problems for fractional differential equations. Integral Transforms and Special Functions. doi, arxiv
  25. Ruzhansky M., Torebek B., Van der Corput lemmas for Mittag-Leffler functions. arxiv
  26. Kassymov A., Ruzhansky M., Suragan D., Reverse Stein-Weiss, Hardy-Littlewood-Sobolev, Hardy, Sobolev and Caffarelli-Kohn-Nirenberg inequalities on homogeneous groups. arxiv
  27. Kassymov A., Ruzhansky M., Suragan D., Reverse integral Hardy inequalities on metric measure spaces. arxiv
  28. Cardona D., Delgado J., Ruzhansky M., Lp-bounds for pseudo-differential operators on graded Lie groups. arxiv
  29. Kirilov A., De Moraes W., Ruzhansky M., Global properties of vector fields on compact Lie groups in Komatsu classes. II. Normal forms. arxiv
  30. Kirilov A., De Moraes W., Ruzhansky M., Global properties of vector fields on compact Lie groups in Komatsu classes. arxiv
  31. Ruzhansky M., Velasquez-Rodriguez J. P., Non-harmonic Gohberg’s lemma, Gershgorin theory and heat equation on manifolds with boundary. Math. Nachr.  arxiv
  32. Ruzhansky M., Sabitbek B., Suragan D., Geometric Hardy inequalities on starshaped sets. Journal of Convex Analysis. arxiv
  33. Cardona D., Ruzhansky M., Boundedness of pseudo-differential operators in subelliptic Sobolev and Besov spaces on compact Lie groups. arxiv
  34. Rottensteiner D., Ruzhansky M., Harmonic and anharmonic oscillators on the Heisenberg group. arxiv
  35. Fischer V., Rottensteiner D., Ruzhansky M., Heisenberg-modulation spaces at the crossroads of coorbit theory and decomposition space theory. arxiv
  36. Ruzhansky M., Yessirkegenov N., Existence and non-existence of global solutions for semilinear heat equations and inequalities on sub-Riemannian manifolds, and Fujita exponent on unimodular Lie groups. arxiv
  37. Dasgupta A., Ruzhansky M., Eigenfunction expansions of ultradifferentiable functions and ultradistributions. III. Hilbert spaces and Universality. J. Fourier Anal. Appl. doi, arxiv
  38. Chatzakou M., Delgado J., Ruzhansky M., On a class of anharmonic oscillators. arxiv
  39. Ruzhansky M., Yessirkegenov N., Hardy, Hardy-Sobolev and Caffarelli-Kohn-Nirenberg inequalities on general Lie groups. arxiv
  40. Avetisyan Zh., Grigoryan M., Ruzhansky M., Approximations in L1 with convergent Fourier series. Math. Z. arxiv
  41. Cardona D., Ruzhansky M., Hörmander condition for pseudo-multipliers associated to the harmonic oscillator. arxiv
  42. 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
  43. Ruzhansky M., Yessirkegenov N., Hypoelliptic functional inequalities. arxiv
  44. Ruzhansky M., Yessirkegenov N., Hardy, weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg type inequalities on Riemannian manifolds with negative curvature. arxiv
  45. Ruzhansky M., Yessirkegenov N., Critical Sobolev, Gagliardo-Nirenberg, Trudinger and Brezis-Gallouet-Wainger inequalities, best constants, and ground states on graded groups. arxiv
  46. Delgado J., Ruzhansky M., Schatten-von Neumann classes of integral operators. arxiv
  47. Cardona D., Ruzhansky M., Littlewood-Paley theorem, Nikolskii inequality, Besov spaces, Fourier and spectral multipliers on graded Lie groups. arxiv
  48. Fischer V., Ruzhansky M., Fourier multipliers on graded Lie groups, Colloq. Math. arxiv
  49. Cardona D., Kumar V., The nuclear trace of periodic vector-valued pseudo-differential operators with applications to index theory. Math. Nach. arxiv
  50. Kumar V., Tabatabaie S. M., Hypercyclic Sequences of weighted translations on hypergroups. arxiv
  51. Bagheri Salec A.R., Kumar V., Tabatabaie S. M., Convolution Properties of Orlicz Spaces on hypergroups. arxiv
  52. Chatzakou M., Kumar V., $L^p$-$L^q$ boundedness of Fourier multipliers associated with the anharmonic Oscillator. Preprint. arxiv
  53. Chatzakou M., Federico S., Zegarlinski B., q-Poincaré inequalities on Carnot Groups. Preprint. arxiv
  54. Cardona D., The weak type (1,p) for convolution operators on locally compact groups. arxiv
  55. Cardona D., Messiouene R., Senoussaoui A., Lp-bounds for Fourier integral operators on the torus. arxiv
  56. Cardona D., Esquivel L., On the Benjamin Ono equation in the half line. arxiv
  57. Cardona D., On the multiplier problem for the ball on graded Lie groups. arxiv
  58. Cardona D., Messiouene R., Senoussaoui A., Periodic Fourier integral operators in Lp spaces. C. R. Math. Acad. Sci. Paris.
  59. Cardona D., Esquivel L. Sharp Strichartz estimates for the Schrödinger equation on the sphere. J. Pseudo-Differ. Oper. Appl. arxiv
  60. Cardona D., L∞-BMO bounds for pseudo-multipliers associated with the harmonic oscillator. Rev. Colombiana Mat. doi
  61. Cardona D., The index of Toeplitz operators on compact Lie groups and simply connected closed 3-manifolds. arxiv
  62. Cardona D., Kumar V., Del Corral C., Dixmier traces for discrete pseudo-differential operators. J. Pseudo-Differ. Oper. Appl. arxiv
  63. Cardona D., Kumar V., The nuclear trace of vector-valued pseudo-differential operators with applications to Index theory. Math. Nachr. arxiv
  64. Gordic S., Levajkovic T., Oparnica Lj., Stochastic parabolic equations with singular potentials. arxiv
  65. Anker J.-Ph., Meda S., Pierfelice V., Vallarino M., Zhang. H.-W., Schrödinger equation on noncompact symmetric spaces. arxiv
  66. Sabitbek B., Torebek B., Global existence and blow-up of solutions to the nonlinear porous medium equation. arxiv