Azerbaijan National Academy of Sciences

- specialty code

- specialty name

- topic name

01.01.01

Mathematical analysis

Investigation of an anisotropic singular integral operator

- specialty code

- specialty name

- topic name

- date

- specialty name

30.06.2014

Mathematical analysis

- number of PhD

- number of Doctor of sciences

Investigation of modern problems of harmonic analysisi in local and global Morrey-type spaces;

Tow-weighted inequalites;

Inclusion theorems for spaces of many-variable differentioal functions;

Approximation theory for function spaces determined in Heisenberg groups;

Banach-valued function spaces theory;

Theory of holomorphic and harmonic function spaces determined in many-dimensional complex domains;

Investigation of different problems of harmonic analysis in Bessel, Laguerre, Gegenbauer, Dankl, and Chebli-Trimece hypergroups;

Application to differential equations.

2. R.A. Bandaliyev, V.S. Guliyev, I.G. Mamedov, A.B. Sadigov, The optimal control problem in the processes described by the Goursat problem for a hyperbolic equation in variable exponent Sobolev spaces with dominating mixed derivatives, Journal of Computational and Applied Mathematics, 305 (2016), 11-17. (Impact Factor 1.266)

3. V.S. Guliyev, F. Deringoz, J.J. Hasanov, -admissible potential operators and their commutators on vanishing Orlicz-Morrey spaces, Collectanea Mathematica 67 (1) (2016), 133-153. DOI 10.1007/s13348-015-0135-1 (Impact Factor 0.609)

4. V.S. Guliyev, Sh. Muradova, M.N. Omarova, L. Softova, Generalized weighted Morrey estimates for the gradient of divergence form parabolic operators with discontinuous coefficients, Acta Mathematica Sinica, 32 (8), 2016, 911–924. (Impact Factor 0.386)

5. V.S. Guliyev, V.H. Hamzayev, Rough singular integral operators and its commutators on generalized weighted Morrey spaces, Mathematical Inequalities and Applications, (19) (3) (2016), 863–881. (Impact Factor 0.645)

6. V.S. Guliyev, L. Softova, Generalized Morrey estimates for the gradient of divergence form parabolic operators with discontinuous coefficients, Journal of Differential Equations, 259 (6) (2015), 2368-2387. (Impact Factor 1.680)

7. V.S. Guliyev, L. Softova, Generalized Morrey regularity for parabolic equations with discontinuity data. Proceedings of the Edinburgh Mathematical Society, 58 (1) 2015, 199-218. (Impact Factor 0.543)

8. V.S. Guliyev, M.N. Omarova, Y. Sawano, Boundedness of intrinsic square functions and their commutators on generalized weighted Orlicz-Morrey spaces. Banach Journal of Mathematical Analysis, 9 (2) 2015, 44-62. (Impact Factor 0.967)

9. Vagif S. Guliyev, Amiran Gogatishvili, Canay Aykol, Characterization of associate spaces of generalized weighted weak-Lorentz spaces and embeddings, Studia Mathematica, 228 (3) (2015), 223-233. (Impact Factor 0.610)

10. V.S. Guliyev, J. Hasanov, S. Samko, Maximal, potential and singular operators in the local "complementary" variable exponent Morrey type spaces. accepted in Journal of Mathematical Analysis and Applications, 401 (1) 2013, 72-84. (Impact Factor – 1.233)

11. V.S. Guliyev, L. Softova, Global regularity in generalized weighted Morrey spaces of solutions to nondivergence elliptic equations with VMO coefficients, Potential Analysis, 38 (3) 2013, 843-862. (Impact Factor – 1.048)

12. V.S. Guliyev, Y. Sawano, Linear and sublinear operators on Generalized Morrey spaces with non-doubling measures, Publicationes Mathematicae Debrecen, 83(3) 2013, 303-327. (Impact Factor – 0.519)

13. V.S. Guliyev, F.A. Isayev, The two-weighted inequalities for sublinear operators generated by B singular integrals in weighted Lebesgue spaces, Acta Applicandae Mathematicae, 127 (1), 2013, 1-16. (Impact Factor – 0.702).

14. V.I. Burenkov, A. Gogatishvili, V.S. Guliyev, R.Ch. Mustafayev, Boundedness of the Riesz potential in local Morrey-type spaces. Potential Analysis, 35 (1) (2011), 67-87. (Impact Factor – 0.943)

15. V.S. Guliyev, R.Ch. Mustafayev, A. Serbetci, Stein-Weiss type inequalities for the fractional integral operators in Carnot groups and applications. Complex variables and elliptic equations, 55 (8-10) 2010, 847-863. (Impact Factor – 0.500)

16. V.S. Guliyev, J. Hasanov, Stefan Samko, Boundedness of the maximal, potential and singular operators in the generalized variable exponent Morrey spaces. Mathematica Scandinavica, 197 (2) (2010), 285-304. (Impact Factor – 0.521)

17. V.S. Guliyev and Y.Y. Mammadov, On fractional maximal function and fractional integral associated with the Dunkl operator on the real line. Journal of Mathematical Analysis and Applications, 353 (1) 2009, 449-459. (Impact Factor – 1.001)

18. V.S. Guliyev and M. Omarova, On fractional maximal function and fractional integral on the Laguerre hypergroup. J. Math. Anal. Appl. 340 (2008), no. 2, 1058–1068. (Impact Factor – 1. 190)

19. V.I. Burenkov, V.S. Guliyev, Necessary and sufficient condi-tions for boundedness of the Riesz potential in the local Morrey-type spaces, Potential Analysis, 30 (3) 2009, 211-249. (Impact Factor – 0.943)

20. V.S. Guliyev, E. Ibrahimov, Calderon reproducing formula associated with the Gegenbauer operator on the half-line. Journal of Mathematical Analysis and Applications, 335 (2) 2007, 1079-1094. (Impact Factor – 1.001)

21. V. S. Guliyev, A. Serbetci and I. Ekincioglu, On boundedness of the generalized B-potential integral operators. Integral Transforms and Special Functions, 18 (11-12) 2007, 885-895. (Impact Factor – 0.730)

2. From 1997 to 2002, from 2009 to 2014 was a member of expert commission on mathematics and mechanics of higher certificate Commission under the President of the Republic of Azerbaijan;

3. Was a member of adminstration staff of Azerbaijan mathematical Society, was the executive secretary of Voliume 2 of their Society;

4. Was the executive secretary of "Khazar Journal of Mathematics";

5. Is a member of the editorial board of international journals: "Eurasian mathematical Journal" and "Fractional Differential Calculus";

6. Is a member of the editorial board of the republical journal " Proceedings of Institute of Mathematics and Mechanics of NAS of Azerbaijan";

7. Is one of the editor-in chiefs of the journal " Caspian Journal of Applied Mathematics, Ecology and Economics";

8. Is the editorial-in-chief of the journal " Transaction Issue Mathematics Series of Physical-Technical and Mathematics Science Azerbaijan National Academy of Science";

9. Since 2015 is the member of the Presidium of thigher Certificate Commission under the President of the Republic of Azerbaijan.

2. Honorary Diploma of the Ministry of Education, 2000

3. NATO Science Prop Coll Linkage Grand 2002

4. The most active team leader in INTAS project 2008

5. In 2014, by the decision of " European Publishing Press House" prize commission was awarded the gold medal for the "best patriotic scientist"