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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
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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