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Optimal weighted estimates for the Cauchy-Riemann equation on analytic polyhedra

Published online by Cambridge University Press:  17 April 2009

Hong Rae Cho  and
Jinkee Lee
Hong Rae Cho
Affiliation:
Department of Mathematics EducationAndong National UniversityAndong 760-749, Korea e-mail: chohr@andong.ac.kr
Jinkee Lee
Affiliation:
Department of Mathematics EducationAndong National UniversityAndong 760-749, Korea e-mail: chohr@andong.ac.kr
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Abstract

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Andersson obtained weighted Lp estimates for on analytic polyhedra. We provide an example to show why they cannot be improved.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 59 , Issue 3 , June 1999 , pp. 427 - 431
Copyright
Copyright © Australian Mathematical Society 1999

References

[1]Adachi, K., Andersson, M. and Cho, H.R., ‘Lp and Hp extensions of holomorphic functions from subvarieties of analytic polyhedra’, Pacific J. Math, (to appear).Google Scholar
[2]Andersson, M., ‘Lp estimates for the -equation in analytic polyhedra in Stein manifolds’, in Several complex variables (Stockholm, 1987/1988), Math. Notes 38 (Princeton Univ. Press, Princeton, NJ, 1993), pp. 34–47.Google Scholar
[3]Berndtsson, B., ‘Weighted integral formulas’, in Several complex variables (Stockholm, 1987/1988), Math. Notes 38 (Princeton Univ. Press, Princeton, NJ, 1993), pp. 160–187.Google Scholar
[4]Berndtsson, B. and Andersson, M., ‘Henkin-Ramirez formulas with weight factors’, Ann. Inst. Fourier 32 (1982), 91–110.CrossRefGoogle Scholar
[5]Rudin, W., Function theory in the unit ball of ℂn (Springer-Verlag, Berlin, Heidelberg, New York, 1980).CrossRefGoogle Scholar
[6]Zhu, K., ‘Weighted Bergman projections on the polydisc’, Houston J. Math. 20 (1994), 275–292.Google Scholar