East Asian mathematical journal

  • 제34권5호
  • /
  • Pages.577-585
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  • 2018
  • /
  • 1226-6973(pISSN)
  • /
  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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REPRESENTATIONS OF SUBHARMONIC HARDY FUNCTIONS IN THE COMPLEX BALL

  • Kwon, Ern Gun (Department of Mathematics Education, Andong National University) ;
  • Park, Jong Hee (Department of Mathematics, Graduate School, Andong National University)
  • 투고 : 2018.05.10
  • 심사 : 2018.07.09
  • 발행 : 2018.09.30
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초록

For the purpose of characterizing subharmonic or ${\mathcal{M}}$-subharmonic Hardy classes in the unit ball of ${\mathbb{C}}^n$, we establish fundamental identities between integral means in terms of volume integrals and Green's functions.

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참고문헌

  1. E. G. Kwon, Decomposition of the Laplacian and pluriharmonic Bloch functions, Filomat 31:1 (2017), 97-102. DOI 10.2298/FIL1701097K
  2. E. G. Kwon and J. H. Park, On M-subharmonicity in the ball, Commun. Korean Math. Soc. 28 (2013), No. 3, pp. 511-516. http://dx.doi.org/10.4134/CKMS.2013.28.3.511
  3. W. Rudin, Function Theory in the unit ball of ${\mathbb{C}}^n$, Springer-Verlag, New York,1980.
  4. M. Stoll, Invariant potential theory in the unit ball of ${\mathbb{C}}^n$, New York, 1994.