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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

The multiplier operators on the weighted product spaces

Author(s): Lung-Kee Chen; Dashan Fan
Journal: Proc. Amer. Math. Soc. 124 (1996), 3755-3765.
MSC (1991): Primary 42B15, 42B30
MathSciNet review: 1353380
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Abstract | References | Similar articles | Additional information

Abstract: In this paper, we proved the boundedness of multiplier operators on the weighted $L^{p}$ product spaces.


References:

1.
L. Carleson, A counterexample for measures bounded for $H^{p}$ for the B-disc, Mittag Leffler report, No. 7, 1974.

2.
R. Fefferman, Harmonic Analysis on Product Spaces, Annals of Math. 126 (1987), 109-130. MR 90e:42030

3.
J. Garcia-Cuerva and J. L. Rubio de Francia, Weighted norm inequality and Related Topics, North-Holland, 1985. MR 87d:42023


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Additional Information:

Lung-Kee Chen
Affiliation: Department of Mathematics, Oregon State University, Corvallis, Oregon 97331
Email: chen@math.orst.edu

Dashan Fan
Affiliation: Department of Mathematical Sciences, University of Wisconsin - Milwaukee, Milwaukee, Wisconsin 53201
Email: fan@csd.uwm.edu

DOI: 10.1090/S0002-9939-96-03616-7
PII: S 0002-9939(96)03616-7
Received by editor(s): May 25, 1995
Communicated by: J. Marshall Ash
Copyright of article: Copyright 1996, American Mathematical Society




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