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JOURNALS // Algebra i Analiz

Algebra i Analiz, 1996, Volume 8, Issue 6, Pages 148–185 (Mi aa746)

Polarization and functional inequalities
A. Yu. Solynin

This publication is cited in the following articles:
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  8. Solynin A., “Asymptotic Ratio of Harmonic Measures of Sides of a Boundary Slit”, Complex Analysis and Dynamical Systems: New Trends and Open Problems, Trends in Mathematics, ed. Agranovsky M. Golberg A. Jacobzon F. Shoikhet D. Zalcman L., Birkhauser Verlag Ag, 2018, 273–299  crossref  mathscinet  isi  scopus
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  17. Betsakos D., “Estimates For Convex Integral Means of Harmonic Functions”, Proc. Edinb. Math. Soc., 57:3 (2014), 619–630  crossref  mathscinet  zmath  isi  scopus  scopus
  18. Solynin A.Yu., “An Estimate For the Green's Function”, Proc. Amer. Math. Soc., 142:9 (2014), 3067–3074  crossref  mathscinet  zmath  isi  scopus  scopus
  19. Betsakos D., “Lindelof's Principle and Estimates For Holomorphic Functions Involving Area, Diameter Or Integral Means”, Comput. Methods Funct. Theory, 14:1 (2014), 85–105  crossref  mathscinet  zmath  isi  elib  scopus  scopus
  20. Cleanthous G., “Growth Theorems for Holomorphic Functions Under Geometric Conditions for the Image”, Comput. Methods Funct. Theory, 13:2 (2013), 277–294  crossref  mathscinet  zmath  isi  elib  scopus  scopus
  21. Baernstein Ii A., Solynin A.Yu., “Monotonicity and Comparison Results for Conformal Invariants”, Rev. Mat. Iberoam., 29:1 (2013), 91–113  crossref  mathscinet  zmath  isi  scopus  scopus
  22. St. Petersburg Math. J., 24:1 (2013), 117–166  mathnet  crossref  mathscinet  zmath  isi  elib
  23. Barnard R.W. Pearce K. Solynin A.Yu., “Iceberg-Type Problems: Estimating Hidden Parts of a Continuum From the Visible Parts”, Math. Nachr., 285:17-18 (2012), 2042–2058  crossref  mathscinet  zmath  isi  elib  scopus  scopus
  24. Anderson G.D., Sugawa T., Vamanamurthy M.K., Vuorinen M., “Twice-punctured hyperbolic sphere with a conical singularity and generalized elliptic integral”, Mathematische Zeitschrift, 266:1 (2010), 181–191  crossref  mathscinet  zmath  isi  elib  scopus  scopus
  25. Betsakos D., “An Extremal Problem for the Hyperbolic Metric on Denjoy Domains”, Comput. Methods Funct. Theory, 10:1 (2010), 49–59  crossref  mathscinet  zmath  isi
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  27. Van Schaftingen J., “Explicit approximation of the symmetric rearrangement by polarizations”, Archiv der Mathematik, 93:2 (2009), 181–190  crossref  mathscinet  zmath  isi  scopus  scopus
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  29. Beardon, AF, “Euclidean and hyperbolic lengths of images of arcs”, Proceedings of the London Mathematical Society, 97 (2008), 183  crossref  mathscinet  zmath  isi  scopus  scopus
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  31. Solynin, AY, “A Schwarz lemma for meromorphic functions and estimates for the hyperbolic metric”, Proceedings of the American Mathematical Society, 136:9 (2008), 3133  crossref  mathscinet  zmath  isi  scopus
  32. Betsakos, D, “Estimation of the hyperbolic metric by using the punctured plane”, Mathematische Zeitschrift, 259:1 (2008), 187  crossref  mathscinet  zmath  isi  elib  scopus  scopus
  33. Solynin, AY, “Mapping properties of analytic functions on the unit disk”, Proceedings of the American Mathematical Society, 136:2 (2008), 577  crossref  mathscinet  zmath  isi  scopus  scopus
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  35. Dubinin V.N., Karp D., “Capacities of certain plane condensers and sets under simple geometric transformations”, Complex Variables and Elliptic Equations, 53:6 (2008), 607–622  crossref  mathscinet  zmath  isi
  36. Solynin, AY, “Hyperbolic convexity and the analytic fixed point function”, Proceedings of the American Mathematical Society, 135:4 (2007), 1181  crossref  mathscinet  zmath  isi  scopus  scopus
  37. V. N. Dubinin, E. G. Prilepkina, “On variational principles of conformal mappings”, St. Petersburg Math. J., 18:3 (2007), 373–389  mathnet  crossref  mathscinet  zmath  elib
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  39. V. N. Dubinin, E. G. Prilepkina, “O sokhranenii obobschennogo privedennogo modulya pri geometricheskikh preobrazovaniyakh ploskikh oblastei”, Dalnevost. matem. zhurn., 6:1-2 (2005), 39–56  mathnet  elib
  40. Betsakos, D, “Polarization, continuous Markov processes, and second order elliptic equations”, Indiana University Mathematics Journal, 53:2 (2004), 331  crossref  mathscinet  zmath  isi  scopus  scopus
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  43. E. V. Kostyuchenko, E. G. Prilepkina, “O polyarizatsii otnositelno gipersfery”, Dalnevost. matem. zhurn., 5:1 (2004), 22–29  mathnet  elib
  44. Barnard, RW, “An isoperimetric inequality for logarithmic capacity”, Annales Academiae Scientiarum Fennicae-Mathematica, 27:2 (2002), 419  mathscinet  zmath  isi
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  47. Betsakos, D, “Geometric theorems and problems for harmonic measure”, Rocky Mountain Journal of Mathematics, 31:3 (2001), 773  crossref  mathscinet  zmath  isi  scopus  scopus
  48. Solynin, AY, “Estimates for the hyperbolic metric of the punctured plane and applications”, Israel Journal of Mathematics, 124 (2001), 29  crossref  mathscinet  zmath  isi  scopus  scopus
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