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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
Posted:
November 21, 2001
MathSciNet review:
1873022
Full-text PDF Free Access
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Abstract: A two-dimensional weighted integral in  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:
http://dx.doi.org/10.1090/S0002-9947-01-02939-7
PII:
S 0002-9947(01)02939-7
Keywords:
Harmonic analysis,
weighted integrals
Received by editor(s):
October 16, 2000
Posted:
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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