Hostname: page-component-5c6d5d7d68-xq9c7 Total loading time: 0 Render date: 2024-08-07T05:36:25.452Z Has data issue: false hasContentIssue false
  • English
  • Français

A Littlewood and Paley-type inequality on the ball

Published online by Cambridge University Press:  17 April 2009

Jun Soo Choa  and
Hong Oh Kim
Jun Soo Choa
Affiliation:
Department of MathematicsEducation Sung Kyun Kwan UniversitySeoul 110-745Korea
Hong Oh Kim
Affiliation:
Department of MathematicsKorea Advanced Institute of Science and TechnologyTaejon 305-701Korea
Rights & Permissions [Opens in a new window]

Abstract

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.

A multi-dimensional analogue of a well known inequality of Littlewood and Paley is obtained on the ball.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 50 , Issue 2 , October 1994 , pp. 265 - 271
Copyright
Copyright © Australian Mathematical Society 1994

References

[1]Choa, J.S. and Choe, B.R., ‘A Littlewood-Paley type identity and a characterization of BMOA’, Complex Variables Theory Appl. 17 (1991), 15–23.Google Scholar
[2]Littlewood, J.E. and Paley, R.E.A.C., ‘Theorems on Fourier series and power series. II,’ Proc. London Math. Soc. 42 (1936), 52–89.Google Scholar
[3]Luecking, D.H., ‘A new proof of an inequality of Littlewood and Paley’, Proc. Amer. Math. Soc. 103 (1988), 887–893.CrossRefGoogle Scholar
[4]Rudin, W., Function theory in the unit ball of Cn (Springer-Verlag, Berlin, Heidelberg, New York, 1980).CrossRefGoogle Scholar
[5]Ullrich, D., ‘Radial limits of M-subharmonic functions’, Trans. Amer. Math. Soc. 202 (1985), 501–518.Google Scholar