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Prokhorov, Dmitrii Vladimirovich

Statistics Math-Net.Ru
Total publications: 26
Scientific articles: 26
Presentations: 2

Number of views:
This page:3499
Abstract pages:8444
Full texts:2387
References:1158
Doctor of physico-mathematical sciences (2008)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:

https://www.mathnet.ru/eng/person29860
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/663338

Publications in Math-Net.Ru Citations
2025
1. D. V. Prokhorov, V. D. Stepanov, “On weighted discrete Hardy and Riemann–Liouville inequalities”, Mat. Zametki, 117:1 (2025),  128–145  mathnet
2024
2. D. V. Prokhorov, “On the associated spaces of the Hardy space”, Dal'nevost. Mat. Zh., 24:1 (2024),  96–106  mathnet
3. D. V. Prokhorov, “On the associated spaces of the weighted altered Cesàro space”, Eurasian Math. J., 15:1 (2024),  55–64  mathnet
2021
4. D. V. Prokhorov, “On a Class of Functionals on a Weighted First-Order Sobolev Space on the Real Line”, Trudy Mat. Inst. Steklova, 312 (2021),  236–250  mathnet  elib; Proc. Steklov Inst. Math., 312 (2021), 226–240  isi  scopus
2020
5. D. V. Prokhorov, “On maximal inequalities”, Sibirsk. Mat. Zh., 61:6 (2020),  1398–1410  mathnet  elib; Siberian Math. J., 61:6 (2020), 1120–1131  isi  scopus
2019
6. D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “Characterization of the function spaces associated with weighted Sobolev spaces of the first order on the real line”, Uspekhi Mat. Nauk, 74:6(450) (2019),  119–158  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 74:6 (2019), 1075–1115  isi  scopus 8
2018
7. D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “Spaces Associated with Weighted Sobolev Spaces on the Real Line”, Dokl. Akad. Nauk, 481:5 (2018),  486–489  mathnet  zmath  elib; Dokl. Math., 98:1 (2018), 373–376  isi  elib  scopus 2
2017
8. D. V. Prokhorov, “On a weighted Sobolev space on real line”, Eurasian Math. J., 8:2 (2017),  22–30  mathnet  mathscinet  isi  scopus 3
9. Dmitrii V. Prokhorov, Vladimir D. Stepanov, Elena P. Ushakova, “On associate spaces of weighted Sobolev space on the real line”, Math. Nachr., 290:5 (2017),  890–912  mathnet  mathscinet  isi  elib  scopus 10
2016
10. D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “On weighted Sobolev spaces on the real line”, Dokl. Akad. Nauk, 466:5 (2016),  522–525  mathnet  mathscinet  zmath  elib; Dokl. Math., 93:1 (2016), 78–81  isi  elib  scopus 7
11. D. V. Prokhorov, “On a Set Everywhere Dense in a Lebesgue Space on the Real Line”, Mat. Zametki, 100:4 (2016),  633–635  mathnet  mathscinet  elib; Math. Notes, 100:4 (2016), 639–641  isi  scopus
12. D. V. Prokhorov, V. D. Stepanov, “Weighted inequalities for quasilinear integral operators on the semi-axis and applications to Lorentz spaces”, Mat. Sb., 207:8 (2016),  135–162  mathnet  mathscinet  zmath  elib; Sb. Math., 207:8 (2016), 1159–1186  isi  elib  scopus 15
13. D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “Hardy–Steklov Integral Operators. Part II”, Sovrem. Probl. Mat., 22 (2016),  123–185  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 302, suppl. 1 (2018), 1–61  isi 6
14. D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “Hardy–Steklov Integral Operators. Part I”, Sovrem. Probl. Mat., 22 (2016),  3–122  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 300, suppl. 2 (2018), 1–112  isi  scopus 16
15. D. V. Prokhorov, “On a class of weighted inequalities containing quasilinear operators”, Trudy Mat. Inst. Steklova, 293 (2016),  280–295  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 293 (2016), 272–287  isi  elib  scopus 28
2014
16. D. V. Prokhorov, V. D. Stepanov, “Estimates for a class of sublinear integral operators”, Dokl. Akad. Nauk, 456:6 (2014),  645–649  mathnet  mathscinet  zmath; Dokl. Math., 89:3 (2014), 372–377  isi  scopus 11
17. D. V. Prokhorov, “On a weighted inequality for a Hardy-type operator”, Trudy Mat. Inst. Steklova, 284 (2014),  216–223  mathnet  elib; Proc. Steklov Inst. Math., 284 (2014), 208–215  isi  elib  scopus 6
2013
18. D. V. Prokhorov, V. D. Stepanov, “Weighted estimates for a class of sublinear operators”, Dokl. Akad. Nauk, 453:5 (2013),  486–488  mathnet  mathscinet  zmath; Dokl. Math., 88:3 (2013), 721–23  isi  scopus 15
19. D. V. Prokhorov, V. D. Stepanov, “On weighted Hardy inequalities in mixed norms”, Trudy Mat. Inst. Steklova, 283 (2013),  155–170  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 283 (2013), 149–164  isi 29
20. D. V. Prokhorov, “Boundedness and compactness of a supremum-involving integral operator”, Trudy Mat. Inst. Steklova, 283 (2013),  142–154  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 283 (2013), 136–148  isi 5
2009
21. D. V. Prokhorov, “Hardy's Inequality with Measures: The Case $0<p<1$”, Mat. Zametki, 86:6 (2009),  870–883  mathnet  mathscinet  zmath; Math. Notes, 86:6 (2009), 811–823  isi  scopus
2006
22. D. V. Prokhorov, “Hardy's Inequality with Three Measures”, Trudy Mat. Inst. Steklova, 255 (2006),  233–245  mathnet  mathscinet; Proc. Steklov Inst. Math., 255 (2006), 221–233  scopus 18
2003
23. D. V. Prokhorov, “Weighted estimates for the Riemann–Liouville operators with variable limits”, Sibirsk. Mat. Zh., 44:6 (2003),  1337–1349  mathnet  mathscinet  zmath; Siberian Math. J., 44:6 (2003), 1049–1060  isi 2
24. D. V. Prokhorov, V. D. Stepanov, “Weighted Estimates for the Riemann–Liouville Operators and Applications”, Trudy Mat. Inst. Steklova, 243 (2003),  289–312  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 243 (2003), 278–301 36
2002
25. D. V. Prokhorov, V. D. Stepanov, “On inequalities with measures of Sobolev type embedding theorems on open sets of the real axis”, Sibirsk. Mat. Zh., 43:4 (2002),  864–878  mathnet  mathscinet  zmath; Siberian Math. J., 43:4 (2002), 694–707  isi 9
2001
26. D. V. Prokhorov, “On the Riemann–Liouville operators with variable limits”, Sibirsk. Mat. Zh., 42:1 (2001),  156–175  mathnet  mathscinet  zmath; Siberian Math. J., 42:1 (2001), 137–156  isi 3

Presentations in Math-Net.Ru
1. О весовых пространствах Соболева на действительной оси
V. D. Stepanov, D. V. Prokhorov, E. P. Ushakova
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
October 28, 2015 16:00
2. Weighted inequalities for sublinear integral operators on the semiaxis and applications to Lorentz analysis
D. V. Prokhorov, V. D. Stepanov
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 26, 2015 11:40   

Organisations
 
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