Convergence of two-dimensional weighted integrals

Pramanik, Malabika

doi:10.1090/S0002-9947-01-02939-7

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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