# Estimates for the integral means of holomorphic functions on bounded domains in ${\u2102}^{n}$

Colloquium Mathematicae (1996)

- Volume: 69, Issue: 2, page 213-238
- ISSN: 0010-1354

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topHu, Zhangjian. "Estimates for the integral means of holomorphic functions on bounded domains in $ℂ^{n}$." Colloquium Mathematicae 69.2 (1996): 213-238. <http://eudml.org/doc/210337>.

@article{Hu1996,

abstract = {},

author = {Hu, Zhangjian},

journal = {Colloquium Mathematicae},

keywords = {integral means; weighted Bergman spaces; Bloch functions; strongly pseudoconvex domains},

language = {eng},

number = {2},

pages = {213-238},

title = {Estimates for the integral means of holomorphic functions on bounded domains in $ℂ^\{n\}$},

url = {http://eudml.org/doc/210337},

volume = {69},

year = {1996},

}

TY - JOUR

AU - Hu, Zhangjian

TI - Estimates for the integral means of holomorphic functions on bounded domains in $ℂ^{n}$

JO - Colloquium Mathematicae

PY - 1996

VL - 69

IS - 2

SP - 213

EP - 238

AB -

LA - eng

KW - integral means; weighted Bergman spaces; Bloch functions; strongly pseudoconvex domains

UR - http://eudml.org/doc/210337

ER -

## References

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- [8] J. H. Shi, On the rate of growth of the means ${M}_{p}$ of holomorphic and pluriharmonic functions on bounded symmetric domains of ${\u2102}^{n}$, J. Math. Anal. Appl. 126 (1987), 161-175. Zbl0625.32003
- [9] J. H. Shi, Inequalities for the integral means of holomorphic functions and their derivatives in the unit ball of ${\u2102}^{n}$, Trans. Amer. Math. Soc. 328 (1991), 619-637. Zbl0761.32001
- [10] J. H. Shi, Some results on singular integrals and function spaces in several complex variables, in: Contemp. Math. 142, Amer. Math. Soc., 1993, 75-101. Zbl0798.32006
- [11] E. M. Stein, Boundary Behavior of Holomorphic Functions of Several Complex Variables, Princeton Univ. Press, Princeton, N.J., 1972. Zbl0242.32005
- [12] M. Stoll, On the rate of growth of the means ${M}_{p}$ of holomorphic and pluriharmonic functions on the ball, J. Math. Anal. Appl. 93 (1983), 109-127.
- [13] K. Stroethoff, Besov-type characterizations for the Bloch space, Bull. Austral. Math. Soc. 39 (1989), 405-420. Zbl0661.30040
- [14] V. S. Vladimirov, Methods of the Theory of Functions of Many Complex Variables, M.I.T. Press, Cambridge, Mass., 1966.
- [15] K. H. Zhu, The Bergman spaces, the Bloch space and Gleason's problem, Trans. Amer. Math. Soc. 309 (1988), 253-265. Zbl0657.32002

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