On Bloch hyperharmonic functions

Stevo Stević

Published: 2003-01-30

Vol. 16 (2002)

On Bloch hyperharmonic functions

Stevo Stević

Abstract

In this note we give necessary and sufficient conditions for a hyperharmonic function to be a Bloch function.

Keywords:

hyperharmonic function , HL-property, , Möbius automorphism , Laplace-Beltrami operator

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Stević, S. (2003). On Bloch hyperharmonic functions. Annales Mathematicae Silesianae, 16, 57–64. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14108

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References

1. L. Ahlfors, Möbius transformations in several dimensions, University of Minesota, School of Mathematics (1981).
2. J.M. Anderson, J.G. Clunie, C.H. Pommerenki, On Bloch functions and normal functions, J. Reine Angew. Math. 270 (1974), 12-37.
3. S. Axler, The Bergman space, the Bloch space, and commutators of multiplication operators, Duke Math. J. 53 (1986), 315-332.
4. S. Axler, P. Bourdon, W. Ramey, Harmonic function theory, Springer-Verlag, New York 1992.
5. F. Beatrous, J. Burbea, Holomorphic Sobolev spaces on the ball, Dissertationes Math. 256 (1986), 315-332.
6. R.R. Coifman, R. Rochberg, G. Weiss, Factorization theorems for Hardy spaces in several complex variables, Ann. of Math. 103 (1976), 611-635.
7. C. Fefferman, E.M. Stein, H^p spaces of several variables, Acta Math. 129 (1972), 137-193.
8. G.H. Hardy, J.E. Littlewood, Some properties of conjugate function, J. Reine. Angew. Math. 167 (1931), 405-423.
9. U. Kuran, Subharmonic behaviour of |h|^p (p>0, h harmonic), J. London Math. Soc. 8 (1974), 529-538.
10. K. Muramoto, Harmonic Bloch and BMO functions on the unit ball in several variables, Tokyo J. Math. 11, 2 (1988), 381-386.
11. M. Nowak, Bloch space on the unit ball of C^n, Ann. Acad. Sci. Fenn. Math. 23 (1998), 461-473.
12. C. Ouyang, W. Weisheng, R. Zhao, Characterizations of Bergman spaces and Bloch space in the unit ball of C^n, Trans. Amer. Math. Soc. 347 (1995), 4301-4313.
13. M. Pavlović, On subharmonic behaviour of functions on balls in R^n, Publ. Inst. Math. (Belgrade), 55 (1994), 18-22.
14. M. Pavlović, Subharmonic behaviour of smooth functions, Mat. Vesnik 48, no. 1-2 (1996), 15-21.
15. S. Stević, An equivalent norm on BMO spaces, Acta Sci. Math. 66 (2000), 553-563.
16. S. Stević, On eigenfunctions of the Laplace operator on a bounded domain, Sci. Ser. A Math. Sci. (N.S.) 7 (2001), 51-55.
17. S. Stević, On subharmonic behaviour of functions in C^n, (to appear).
18. R.M. Timoney, Bloch functions in several complex variables, Bull. London Math. Soc. 12 (1980), 241-267. Google Scholar

Vol. 16 (2002)
Published: 2003-01-30

ISSN: 0860-2107

eISSN: 2391-4238

10.2478/amsil

Publisher

University of Silesia Press

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