Estimates for the integral means of holomorphic functions on bounded domains in ℂ n

Zhangjian Hu

Colloquium Mathematicae (1996)

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

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Hu, 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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  2. [2] T. M. Flett, The dual of an inequality of Hardy and Littlewood and some related inequalities, J. Math. Anal. Appl. 38 (1972), 746-765. Zbl0246.30031
  3. [3] G. H. Hardy and J. E. Littlewood, Some properties of fractional integrals, II, Math. Z. 34 (1932), 403-439. Zbl0003.15601
  4. [4] S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, New York, 1962. 
  5. [5] Z. J. Hu, Mean value properties of pluriharmonic functions, Chinese J. Math. 13 (1993), 299-303. 
  6. [6] S. G. Krantz, Function Theory of Several Complex Variables, Wiley, New York, 1982. Zbl0471.32008
  7. [7] S. G. Krantz and D. W. Ma, Bloch functions on strongly pseudoconvex domains, Indiana Univ. Math. J. 37 (1988), 145-163. Zbl0628.32006
  8. [8] J. H. Shi, On the rate of growth of the means M p of holomorphic and pluriharmonic functions on bounded symmetric domains of ℂ n , J. Math. Anal. Appl. 126 (1987), 161-175. Zbl0625.32003
  9. [9] J. H. Shi, Inequalities for the integral means of holomorphic functions and their derivatives in the unit ball of ℂ n , Trans. Amer. Math. Soc. 328 (1991), 619-637. Zbl0761.32001
  10. [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. [11] E. M. Stein, Boundary Behavior of Holomorphic Functions of Several Complex Variables, Princeton Univ. Press, Princeton, N.J., 1972. Zbl0242.32005
  12. [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. [13] K. Stroethoff, Besov-type characterizations for the Bloch space, Bull. Austral. Math. Soc. 39 (1989), 405-420. Zbl0661.30040
  14. [14] V. S. Vladimirov, Methods of the Theory of Functions of Many Complex Variables, M.I.T. Press, Cambridge, Mass., 1966. 
  15. [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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