Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-22T18:18:38.261Z Has data issue: false hasContentIssue false

On boundedness of the weighted Bergman projections on the Lipschitz spaces

Published online by Cambridge University Press:  17 April 2009

Hong Rae Cho
Affiliation:
Department of Mathematics Education, Andong National University, Andong 760–749, Korea e-mail: [email protected]
Jinkee Lee
Affiliation:
Department of Mathematics, Pusan National University, Pusan 609–735, Korea e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper we study the boundedness of the weighted Bergman projections on the weighted subspaces of Bergman spaces and the Lipschitz spaces on the unit ball and the unit polydisc.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2002

References

[1]Ahn, H. and Cho, H.R., ‘Optimal non-isotropic L p estimates with weights for the -problem on strictly pseudoconvex domains’, Kyushu J. Math. (to appear).Google Scholar
[2]Beatrous, F., ‘Estimates for derivatives of holomorphic functions in pseudoconvex domains’, Math. Z. 191 (1986), 91116.CrossRefGoogle Scholar
[3]Cho, H.R. and Lee, J., ‘Optimal weighted estimates for the Cauchy-Riemann equation on analytic polyhedra’, Bull. Austral. Math. Soc. 59 (1999), 427431.CrossRefGoogle Scholar
[4]Kim, H.O. and Kwon, E.G., ‘Weighted subspaces of Hardy spaces’, Canad. J. Math. 40 (1988), 10741083.CrossRefGoogle Scholar
[5]Krantz, S.G., ‘Lipschitz spaces, smoothness of functions, and approximation theory’, Expo. Math. 3 (1983), 193260.Google Scholar
[6]Kwon, E.G., ‘Image area and the weighted subspaces of Hardy spaces’, Canad. Math. Bull. 33 (1990), 167174.CrossRefGoogle Scholar
[7]Rudin, W., Function theory in the unit ball of ℂn (Springer-Verlag, New York, 1980).CrossRefGoogle Scholar