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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Convergence of two-dimensional weighted integrals
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by Malabika Pramanik PDF
Trans. Amer. Math. Soc. 354 (2002), 1651-1665 Request permission

Abstract:

A two-dimensional weighted integral in $\mathbb R^{2}$ is proposed as a tool for analyzing higher-dimensional unweighted integrals, and a necessary and sufficient condition for the finiteness of the weighted integral is obtained.
References
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Additional Information
  • Malabika Pramanik
  • Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
  • MR Author ID: 688168
  • ORCID: 0000-0003-1119-7534
  • Email: malabika@math.wisc.edu
  • Received by editor(s): October 16, 2000
  • Published electronically: November 21, 2001
  • Additional Notes: Research supported in part by NSF grant DMS-9970660
  • © Copyright 2001 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 354 (2002), 1651-1665
  • MSC (2000): Primary 42B10; Secondary 35S30, 41A60
  • DOI: https://doi.org/10.1090/S0002-9947-01-02939-7
  • MathSciNet review: 1873022