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Integral means of δ-subharmonic functions and classes of entirely regular growth

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Abstract

Classes Λδ of functions of finite λ-type δ-subharmonic in ℝm are investigated. A membership criterion that defines when a function belongs to the class Γδ expressed in terms of its integral q-means is established. Classes of entirely regular growth of functions that are δ-subharmonic in ℝm are introduced and the behavior of these functions at infinity and the distribution of Riesz-associated measures are studied.

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Literature cited

  1. A. A. Kondratyuk, “Spherical harmonics and subharmonic functions,” Mat. Sb.,125, No. 2, 147–166 (1984).

    Google Scholar 

  2. W. Heyman and P. Kennedy, Subharmonic Functions [Russian translation], Nauka, Moscow (1980).

    Google Scholar 

  3. M. G. Arsove, “Functions representable as differences of subharmonics,” Trans. Am. Math. Soc.,75, 327–365 (1953).

    Google Scholar 

  4. O. V. Veselovskaya, “Analogue of Mails' theorem for δ-subharmonic functions in ℝm,” Ukr. Mat. Zh.,34, No. 6, 694–698 (1984).

    Google Scholar 

  5. A. A. Kondratyuk, Fourier Series and Meromorphic Functions [in Russian], Vishcha Shkola L'vov University, L'vov (1988).

    Google Scholar 

  6. J. Stein and H. Weiss, Introduction to Harmonic Analysis [Russian translation], Mir, Moscow (1974).

    Google Scholar 

  7. A. A. Kondratyuk, “Method of spherical harmonics for subharmonic functions,” Mat. Sb.,116, No. 2, 147–165 (1981).

    Google Scholar 

  8. M. A. Shubin, Pseudodifferential Operators and Spectral Theory [in Russian], Nauka, Moscow (1978).

    Google Scholar 

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Authors and Affiliations

  1. L'vov University, USSR

    S. I. Tarasyuk

Authors
  1. S. I. Tarasyuk
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 3, pp. 408–416, March, 1992.

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Tarasyuk, S.I. Integral means of δ-subharmonic functions and classes of entirely regular growth. Ukr Math J 44, 354–361 (1992). https://doi.org/10.1007/BF01063137

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  • DOI: https://doi.org/10.1007/BF01063137

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