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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

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On the maximum principle for harmonic functions
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by A. Vagharshakyan
St. Petersburg Math. J. 20 (2009), 325-337
DOI: https://doi.org/10.1090/S1061-0022-09-01050-4
Published electronically: April 6, 2009

Abstract:

Some generalizations of the maximum principle for harmonic functions are discussed.
References
  • S. Mandelbrojt, Séries de Dirichlet. Principes et méthodes, Monographies Internationales de Mathématiques Modernes, vol. 11, Gauthier-Villars, Paris, 1969 (French). MR 0259079
  • Lennart Carleson, Selected problems on exceptional sets, Van Nostrand Mathematical Studies, No. 13, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1967. MR 0225986
  • Elias M. Stein, Singular integrals and differentiability properties of functions, Princeton Mathematical Series, No. 30, Princeton University Press, Princeton, N.J., 1970. MR 0290095
  • A. A. Vagarshakyan, On the maximum principle, Izv. Akad. Nauk Armenii Mat. 26 (1991), no. 4, 300–308, 363 (1992) (Russian, with English, Russian and Armenian summaries); English transl., J. Contemp. Math. Anal. 26 (1991), no. 4, 21–28. MR 1231851
  • A. A. Vagaršakjan, Boundary properties of certain classes of harmonic functions, Izv. Akad. Nauk Armjan. SSR Ser. Mat. 10 (1975), no. 1, 54–60, 93 (Russian, with Armenian and English summaries). MR 0382681
  • Henrik Shahgholian and Ashot Vagharshakyan, On Phragmen Lindelöf principle, Complex Variables Theory Appl. 46 (2001), no. 4, 295–305. MR 1873963, DOI 10.1080/17476930108815417
  • Lars Hörmander, The analysis of linear partial differential operators. I, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 256, Springer-Verlag, Berlin, 1983. Distribution theory and Fourier analysis. MR 717035, DOI 10.1007/978-3-642-96750-4
  • N. S. Landkof, Osnovy sovremennoĭ teorii potentsiala, Izdat. “Nauka”, Moscow, 1966 (Russian). MR 0214795
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Bibliographic Information
  • A. Vagharshakyan
  • Affiliation: Institute of Mathematics, Armenian National Academy of Sciences, Bagramian 24-b, 375019, Yerevan, Armenia
  • Email: vagharshakyan@yahoo.com
  • Received by editor(s): March 5, 2007
  • Published electronically: April 6, 2009
  • © Copyright 2009 American Mathematical Society
  • Journal: St. Petersburg Math. J. 20 (2009), 325-337
  • MSC (2000): Primary 30C80, 31A15
  • DOI: https://doi.org/10.1090/S1061-0022-09-01050-4
  • MathSciNet review: 2454450