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Transactions of the American Mathematical Society

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Convergence of two-dimensional weighted integrals


Author: Malabika Pramanik
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
Published electronically: November 21, 2001
MathSciNet review: 1873022
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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.


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Additional Information

Malabika Pramanik
Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
Email: malabika@math.wisc.edu

DOI: https://doi.org/10.1090/S0002-9947-01-02939-7
Keywords: Harmonic analysis, weighted integrals
Received by editor(s): October 16, 2000
Published electronically: November 21, 2001
Additional Notes: Research supported in part by NSF grant DMS-9970660
Article copyright: © Copyright 2001 American Mathematical Society

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