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Acta of Turin Polytechnic University in Tashkent

Abstract

The purpose of this paper is to show some properties of,- singular removable sets to subharmonic functions.

First Page

30

Last Page

32

References

  1. W. Blaschke, Ein Mittelwertsatz und eine kennzeichnende Eigenschaft des logarithischen Potentials, Ber. Verh. Sächs. Akad. Wiss., 68, (1916), 3-7pp.
  2. T. Rado, Subharmonic functions, Ergebnisse der Mathematik, Berlin, 1937.
  3. I. Privaloff, Sur les fonctions harmoniques, Rec. math., XXXII:3, (1925), 464-469 pp.
  4. S. Saks, On the operators of Blaschke and Privaloff for subharmonic functions, Rec.Math.[Mat. Sbornik] N.S., 9(51) (2), (1941), 451-456 pp.
  5. I. Privalov, To the definition of a subharmonic function, News of the USSR Acad. of Sci., (5), 1941, 281-284 pp, (in Russian).
  6. Brelo M., Foundations of classical potential theory, 217p. Mir, Moscow, (1964), (in Russian).
  7. A. Pokrovskii, Conditions for subharmonicity and subharmonic extensions of functions, Sb. Math., 208:8, 2017, 1225-1245 pp, (in Russian).
  8. Sh. Shopulatov, On a weak criterion for the subharmonicity of functions in n , Uzb.Math.Jour., (2) 2018, 136-141 pp.

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