Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Zapiski Nauchnykh Seminarov POMI, 1996, Volume 232, Pages 134–140 (Mi znsl3682)  

The Gelfand and Bernstein widths of some classes of analytic functions. II

O. G. Parfenov

Pskov State Pedagogical Institute
Abstract: The Gelfand widths of the unit ball of $H^2(\nu)$ (the weighted Hardy space) with respect to the metric of the space $L_\infty(T_r)$ are considered ($T_r$ being the circle of radius $r$ centered at the origin), as well as the Bernstein widths of the unit ball of $H^\infty$ with respect to the metric of the space $L_2(T_r,\mu)$. The asymptotic formulas for the widths in the question are established for arbitrary measures $\nu,\mu$. Bibl. 5 titles.
Received: 13.11.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 92, Issue 1, Pages 3630–3634
DOI: https://doi.org/10.1007/BF02440148
Bibliographic databases:
Document Type: Article
UDC: 517.43+517.51
Language: Russian
Citation: O. G. Parfenov, “The Gelfand and Bernstein widths of some classes of analytic functions. II”, Investigations on linear operators and function theory. Part 24, Zap. Nauchn. Sem. POMI, 232, POMI, St. Petersburg, 1996, 134–140; J. Math. Sci. (New York), 92:1 (1998), 3630–3634
Citation in format AMSBIB
\Bibitem{Par96}
\by O.~G.~Parfenov
\paper The Gelfand and Bernstein widths of some classes of analytic functions.~II
\inbook Investigations on linear operators and function theory. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 232
\pages 134--140
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3682}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1464430}
\zmath{https://zbmath.org/?q=an:0907.41021|0889.41019}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 92
\issue 1
\pages 3630--3634
\crossref{https://doi.org/10.1007/BF02440148}
Linking options:
  • https://www.mathnet.ru/eng/znsl3682
  • https://www.mathnet.ru/eng/znsl/v232/p134
    Cycle of papers
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:123
    Full-text PDF :51
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024