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Transactions of the American Mathematical Society

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

 

 

On a theorem of Muckenhoupt and Wheeden and a weighted inequality related to Schrödinger operators


Author: C. Pérez
Journal: Trans. Amer. Math. Soc. 340 (1993), 549-562
MSC: Primary 26D10; Secondary 35J10, 42B25, 46E99
DOI: https://doi.org/10.1090/S0002-9947-1993-1072105-7
MathSciNet review: 1072105
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Abstract: We extend in several directions a theorem of B. Muckenhoupt and R. Wheeden relating the $ {L^p}$-norms of Riesz potentials and fractional maximal operators. We apply these results to give a simple proof and sharpen a weighted inequality for Schrödinger operators of Chang, Wilson and Wolff.


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DOI: https://doi.org/10.1090/S0002-9947-1993-1072105-7
Article copyright: © Copyright 1993 American Mathematical Society