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Carleson测度与Bloch的刻画 被引量:1

THE CHARACTERIZATIONS OF THE CARLESON MEASURE AND BLOCH
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摘要 在文中 ,对于 Cn中有界强拟凸域 .我们得到 Carleson测度 ,消没 Carleson测度的刻画 .利用 Carleson测度 ,我们还得到 Bloch,小 Bloch的刻画 . Let Ω be a bounded strongly pseudoconvex domain in C n In this paper we get characterizations of carleson measure and varnishing carleson measure, using carleson measure,We also get characterizations of Bloch and little Bloch.
出处 《数学杂志》 CSCD 北大核心 2002年第3期323-328,共6页 Journal of Mathematics
基金 福建省教委基金资助项目 .
关键词 有界强拟凸域 CARLESON测度 BLOCH空间 bounded strongly pseudoconvex domain Carleson measure Bloch space
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参考文献9

  • 1[1]Zhu Kehe. Operator theory in function space[M]. New York: Marcel Dekker, 1990.
  • 2[2]Li Huiping. Hankel operators on Bergman spaces of strongly pseudoconvex domains[J]. Inter Equatoper Th, 1994, 19: 458~476.
  • 3[3]Stroethoff K. Besov-type characterizations for the Bloch space[J]. Bull Austral Math Soc, 1989, 39:405~420.
  • 4[4]Krantz S. G, Ma D. The Bloch functions on strongly pseudoconvex domains[J]. Indiana Univ MathJ, 988, 37: 145~165.
  • 5[5]Hu Zhang jian, Equivalent characterizations of Bloch functions[J]. Colloq Math, 1994, 64: 99~108.
  • 6[6]Li Songying. Trace ideal criteria for composition operators on Bergman spaces[J]. Amer J. Math,1995, 117: 1299~1323.
  • 7[7]Li Huiping. BMO, VMO and Hankel operators on the Bergman space of strongly pseudoconvexdomains J Funct Anal, 1992, 106: 375~408.
  • 8[8]Fefferman C. The Bergman kernel and hiholomorphous mapping of pseudoconvex domains[J]. InventMath, 1974, 26: 1~65.
  • 9[9]Krants S. G. Function theory of several complex variables[M]. New York: John Wiley and Sons,1982.

同被引文献9

  • 1[4]Smith W. Composition operators between Bergman and Hardy spaces[J]. Trans. Amer. Math. Soc., 1996, 348(6):2331-2348.
  • 2[5]Zhu Kehe. Operator Theory in Ftnction Space[M]. New York: Marcel Dekker, 1990.
  • 3[6]Li Huiping. Hankel operators on Bergman spaces of strongly psetdoconvex domains[J]. Intergral Equation operator theory, 1994, (19) :458 -476.
  • 4[7]Li Huiping, BMO. VMO and Hankel operators on the Bergman space of strongly pseudooonves domains[J]. Journal Functional Analysis, 1992,(106):375-408.
  • 5[8]Pavlovic M. Inequalities for the gradient of eighenfunctions of the invariant laplacian on the unit ball[J]. Indag. Math., 1991, (2):89-98.
  • 6[9]Bekolle D, Berger C.A, coburn L.A, etc. BMO in the Bergman metric on bounded symmetric domains[J]. J. Funct. Anal. 1990, (93):310-350.
  • 7[10]Halrmos, P.R.. Measure theory[M]. 1951.
  • 8[11]Krants S.G. Function theory of several complex variables[M]. New York: John Wiley and Sons, 1982.
  • 9罗罗.Composition Operators Between the Weighted Dirichlet Spaces on Bounded Symmetric Domains of C^n[J].Chinese Quarterly Journal of Mathematics,1999,14(3):54-63. 被引量:2

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