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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The multiplier operators on the weighted product spaces
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by Lung-Kee Chen and Dashan Fan PDF
Proc. Amer. Math. Soc. 124 (1996), 3755-3765 Request permission

Abstract:

In this paper, we proved the boundedness of multiplier operators on the weighted $L^{p}$ product spaces.
References
  • L. Carleson, A counterexample for measures bounded for $H^{p}$ for the B–disc, Mittag Leffler report, No. 7, 1974.
  • Robert Fefferman, Harmonic analysis on product spaces, Ann. of Math. (2) 126 (1987), no. 1, 109–130. MR 898053, DOI 10.2307/1971346
  • José García-Cuerva and José L. Rubio de Francia, Weighted norm inequalities and related topics, North-Holland Mathematics Studies, vol. 116, North-Holland Publishing Co., Amsterdam, 1985. Notas de Matemática [Mathematical Notes], 104. MR 807149
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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
  • Received by editor(s): May 25, 1995
  • Communicated by: J. Marshall Ash
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 3755-3765
  • MSC (1991): Primary 42B15, 42B30
  • DOI: https://doi.org/10.1090/S0002-9939-96-03616-7
  • MathSciNet review: 1353380