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Lykov, Konstantin Vladimirovich

Total publications: 16 (16)
in MathSciNet: 15 (15)
in zbMATH: 10 (10)
in Web of Science: 11 (11)
in Scopus: 19 (19)
Cited articles: 12
Citations in Math-Net.Ru: 39
Citations in Web of Science: 44
Citations in Scopus: 38
Presentations: 8

Number of views:
This page:2207
Abstract pages:2717
Full texts:518
References:323
Doctor of physico-mathematical sciences
E-mail:
Keywords: interpolation of operators, extrapolation of operators, interpolation spaces, rearrangement invariant spaces
UDC: 517.982.27, 517.982, 517.983, 517.988

Subject:

Function spaces, interpolation spaces, extrapolation theory. Applications of extrapolation theory.

   
Main publications:
  1. K. V. Lykov, “On Extrapolation Properties of Schatten–von Neumann Classes”, Funct. Anal. Appl., 52:1 (2018), 57–61  mathnet  crossref  crossref  isi  elib  elib  scopus  scopus
  2. S. V. Astashkin, K. V. Lykov, “Jawerth–Milman extrapolation theory: Some recent developments with applications”, Functional Analysis, Harmonic Analysis, and Image Processing: A Collection of Papers in Honor of Björn Jawerth, Contemporary Mathematics, 693, eds. Michael Cwikel, Mario Milman, American Mathematical Society, Providence, Rhode Island, 2017, 7–53 http://www.ams.org/books/conm/693/conm693-endmatter.pdf , https://books.google.ru/books?id=2DouDwAAQBAJ&pg=PA7&lpg=PA7&dq=Jawerth  crossref  mathscinet  zmath  isi  scopus
  3. K. V. Lykov, “Extrapolation of operators acting into quasi-Banach spaces”, Sb. Math., 207:1 (2016), 85–112  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  elib  scopus  scopus
  4. K. V. Lykov, “New Uniqueness Conditions for the Classical Moment Problem”, Math. Notes, 92:6 (2012), 797–806  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  elib  elib  scopus  scopus
  5. S. V. Astashkin, K. V. Lykov, “Extrapolation description of rearrangement invariant spaces and related problems”, Banach and function spaces III (ISBFS 2009), Proceedings of the Third International Symposium on Banach and Function Spaces (Kyushu Institute of Technology, Kitakyushu, Japan, 15-17 September 2009), eds. Mikio Kato, Lech Maligranda, Tomonari Suzuki, Yokohama Publisher, Yokohama, 2011, 1–52 http://www.ybook.co.jp/online2/BFS/III/op1.html, http://www.diva-portal.se/smash/get/diva2:994748/FULLTEXT01.pdf  mathscinet  zmath

http://www.mathnet.ru/eng/person29432
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:lykov.konstantin-v
https://mathscinet.ams.org/mathscinet/MRAuthorID/797562
http://www.scopus.com/authid/detail.url?authorId=14819512500

Full list of publications:
| scientific publications | by years | by types | by times cited in WoS | by times cited in Scopus | common list |



   2019
1. S. V. Astashkin, K. V. Lykov, M. Milman, “Limiting interpolation spaces via extrapolation”, Journal of Approximation Theory, 240 (2019), 16-70 https://www.sciencedirect.com/science/article/pii/S0021904518301084, arXiv: arXiv:1803.10659v2  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  scopus (cited: 3)

   2018
2. K. V. Lykov, “On Extrapolation Properties of Schatten–von Neumann Classes”, Funct. Anal. Appl., 52:1 (2018), 57–61  mathnet  crossref  crossref  isi (cited: 1)  elib  elib  scopus (cited: 1)  scopus (cited: 1)

   2017
3. S. V. Astashkin, K. V. Lykov, “Jawerth–Milman extrapolation theory: Some recent developments with applications”, Functional Analysis, Harmonic Analysis, and Image Processing: A Collection of Papers in Honor of Björn Jawerth, Contemporary Mathematics, 693, eds. Michael Cwikel, Mario Milman, American Mathematical Society, Providence, Rhode Island, 2017, 7–53 http://www.ams.org/books/conm/693/conm693-endmatter.pdf , https://books.google.ru/books?id=2DouDwAAQBAJ&pg=PA7&lpg=PA7&dq=Jawerth  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)

   2018
4. K. V. Lykov, “Any random variable with finite moments is a sum of two variables with determinate moment problem”, Theory Probab. Appl., 62:4 (2018), 632–639  mathnet  crossref  crossref  mathscinet  mathscinet  zmath  isi  elib  elib  scopus (cited: 1)  scopus (cited: 1)

   2017
5. S. V. Astashkin, K. V. Lykov, “Sparse Rademacher chaos in symmetric spaces”, St. Petersburg Math. J., 28:1 (2017), 1–20  mathnet  crossref  mathscinet  isi  elib  elib  elib  scopus  scopus

   2016
6. K. V. Lykov, “Extrapolation of operators acting into quasi-Banach spaces”, Sb. Math., 207:1 (2016), 85–112  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  elib  elib  scopus  scopus

   2012
7. K. V. Lykov, “New Uniqueness Conditions for the Classical Moment Problem”, Math. Notes, 92:6 (2012), 797–806  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib  elib  elib  elib  scopus (cited: 2)  scopus (cited: 2)
8. K. V. Lykov, “Some Remarks on the Moment Problem and Its Relation to the Theory of Extrapolation of Spaces”, Math. Notes, 91:1 (2012), 69–80  mathnet  crossref  crossref  mathscinet  isi (cited: 2)  elib  elib  elib  elib  scopus (cited: 1)  scopus (cited: 1)
9. S. V. Astashkin, K. V. Lykov, M. Mastyło, “On extrapolation of rearrangement invariant spaces”, Nonlinear Analysis: Theory, Methods & Applications, 75:5 (2012), 2735–2749  crossref  mathscinet  zmath  isi (cited: 5)  scopus (cited: 4)

   2011
10. S. V. Astashkin, K. V. Lykov, “Extrapolation description of rearrangement invariant spaces and related problems”, Banach and function spaces III (ISBFS 2009), Proceedings of the Third International Symposium on Banach and Function Spaces (Kyushu Institute of Technology, Kitakyushu, Japan, 15-17 September 2009), eds. Mikio Kato, Lech Maligranda, Tomonari Suzuki, Yokohama Publisher, Yokohama, 2011, 1–52 http://www.ybook.co.jp/online2/BFS/III/op1.html, http://www.diva-portal.se/smash/get/diva2:994748/FULLTEXT01.pdf  mathscinet  zmath

   2009
11. S. V. Astashkin, K. V. Lykov, “Strong extrapolation spaces and interpolation”, Siberian Math. J., 50:2 (2009), 199–213  mathnet  crossref  mathscinet  isi (cited: 13)  elib  elib  elib  elib  scopus (cited: 13)  scopus (cited: 13)

   2008
12. K. V. Lykov, T. A. Morozova, R. S. Sukhanov, “Struktura nepreryvnykh funktsii v lineinoi obolochke khaosov Rademakhera”, Vestnik SamGU, 2008, no. 6, 123–138 http://vestnik-samgu.samsu.ru/est/content/math.html

   2006
13. S. V. Astashkin, K. V. Lykov, “Extrapolatory description for the Lorentz and Marcinkiewicz spaces “close” to $L_\infty$”, Siberian Math. J., 47:5 (2006), 797–812  mathnet  crossref  mathscinet  zmath  isi (cited: 14)  elib  elib  elib  elib  scopus (cited: 11)  scopus (cited: 11)
14. K. V. Lykov, “Ekstrapolyatsiya v shkale $L_p$-prostranstv i skhodimost ortogonalnykh ryadov v prostranstvakh Martsinkevicha”, Vestnik SamGU, 2006, no. 2(42), 28–43 http://vestnik-samgu.samsu.ru/est/content/math.html  mathscinet
15. K. V. Lykov, “Kriterii separabelnosti ekstrapolyatsionnogo prostranstva”, Vestnik SamGU, 2006, no. 4(44), 5–12 http://vestnik-samgu.samsu.ru/est/content/math.html  mathscinet  zmath
16. K. V. Lykov, “O dopolnyaemosti podprostranstv simmetrichnogo prostranstva, porozhdennykh szhatiyami i translyatsiyami”, Vestnik SamGU, 2006, no. 6/1(46), 47–63 http://vestnik-samgu.samsu.ru/est/content/math.html  mathscinet  zmath

Presentations in Math-Net.Ru
1. On a class of extrapolation functors defined on compatible families of Banach spaces
K. V. Lykov
Algebras in Analysis
September 21, 2018 18:05
2. Предельные интерполяционные пространства: их свойства и характеризация
K. V. Lykov
Seminar on Operator Theory and Function Theory
April 9, 2018 17:30
3. Комбинаторная размерность подмножеств декартовой степени натурального ряда и хаосы Радемахера
K. V. Lykov
Seminar on Theory of Functions of Real Variables
October 6, 2017 18:30
4. Об экстраполяционных свойствах классических интерполяционных шкал банаховых пространств
K. V. Lykov
Seminar on Theory of Functions of Real Variables
April 7, 2017 18:30
5. Экстраполяционное описание некоторых интерполяционных пространств
K. V. Lykov
Seminar on Operator Theory and Function Theory
March 6, 2017 17:30
6. New results in the classical moment problem
K. V. Lykov
Principle Seminar of the Department of Probability Theory, Moscow State University
February 8, 2017 16:45
7. Extrapolation theory at the scale of $L_{p}$ spaces and applications
K. V. Lykov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
May 4, 2016 16:00   
8. О пространствах Орлича с определенной проблемой моментов
K. V. Lykov
Seminar of Chebyshev Laboratory on Probability Theory
December 25, 2015 16:15

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