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Algebra i Analiz, 1989, Volume 1, Issue 1, Pages 3–59 (Mi aa1)  

This article is cited in 14 scientific papers (total in 14 papers)

Expository Surveys

Probability methods in the theory of conformal mappings

N. G. Makarov

Leningrad Department of V. A. Steklov Institute of Mathematics
Received: 28.08.1988
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. G. Makarov, “Probability methods in the theory of conformal mappings”, Algebra i Analiz, 1:1 (1989), 3–59; Leningrad Math. J., 1:1 (1990), 1–56
Citation in format AMSBIB
\Bibitem{Mak89}
\by N.~G.~Makarov
\paper Probability methods in the theory of conformal mappings
\jour Algebra i Analiz
\yr 1989
\vol 1
\issue 1
\pages 3--59
\mathnet{http://mi.mathnet.ru/aa1}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1015333}
\zmath{https://zbmath.org/?q=an:0736.30006}
\transl
\jour Leningrad Math. J.
\yr 1990
\vol 1
\issue 1
\pages 1--56
Linking options:
  • https://www.mathnet.ru/eng/aa1
  • https://www.mathnet.ru/eng/aa/v1/i1/p3
  • This publication is cited in the following 14 articles:
    1. F. G. Avkhadiev, I. R. Kayumov, S. R. Nasyrov, “Extremal problems in geometric function theory”, Russian Math. Surveys, 78:2 (2023), 211–271  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. A. D. Baranov, I. R. Kayumov, “Estimates for integrals of derivatives of n-valent functions and geometric properties of domains”, Sb. Math., 214:12 (2023), 1674–1693  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    3. A. D. Baranov, I. R. Kayumov, “Estimates for the integrals of derivatives of rational functions in multiply connected domains in the plane”, Izv. Math., 86:5 (2022), 839–851  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    4. A. D. Baranov, I. R. Kayumov, “Integral estimates of derivatives of rational functions in Hölder domains”, Dokl. Math., 106:3 (2022), 416–422  mathnet  crossref  crossref  mathscinet  elib
    5. O. V. Ivrii, I. R. Kayumov, “Makarov's principle for the Bloch unit ball”, Sb. Math., 208:3 (2017), 399–412  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    6. Mozolyako P., “Boundary Oscillations of Harmonic Functions in Lipschitz Domains”, Collect. Math., 68:3 (2017), 359–376  crossref  mathscinet  zmath  isi  scopus
    7. Amir G. Angel O. Kozma G., “One-Dimensional Long-Range Diffusion Limited Aggregation II: the Transient Case”, Ann. Appl. Probab., 27:3 (2017), 1886–1922  crossref  mathscinet  zmath  isi  scopus
    8. Astala K. Ivrii O. Perala A. Prause I., “Asymptotic Variance of the Beurling Transform”, Geom. Funct. Anal., 25:6 (2015), 1647–1687  crossref  isi
    9. E. Doubtsov, “Derivatives of regular measures”, St. Petersburg Math. J., 19:2 (2008), 225–238  mathnet  crossref  mathscinet  zmath  isi
    10. E. Doubtsov, “Radial behavior of positive harmonic Bloch functions”, J. Math. Sci. (N. Y.), 148:6 (2008), 841–845  mathnet  crossref  mathscinet
    11. Poltoratski, A, “Images of non-tangential sectors under Cauchy transforms”, Journal D Analyse Mathematique, 89 (2003), 385  crossref  mathscinet  zmath  isi
    12. Ryabinin A.A., Yaroschuk M.V., “Martingaly i differentsialnye svoistva funktsii”, Vestnik Nizhegorodskogo universiteta im. N.I. Lobachevskogo. Seriya: Matematika, 2003, no. 1, 69–82  elib
    13. Anderson, JM, “On some dyadic properties of curves”, Quarterly Journal of Mathematics, 52 (2001), 403  crossref  mathscinet  zmath  isi
    14. S. Ya. Havinson, “Golubev sums: a theory of extremal problems like the analytic capacity problem and of related approximation processes”, Russian Math. Surveys, 54:4 (1999), 753–818  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и анализ
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