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

Pérez, C.

doi:10.1090/S0002-9947-1993-1072105-7

On a theorem of Muckenhoupt and Wheeden and a weighted inequality related to Schrödinger operators
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Trans. Amer. Math. Soc. 340 (1993), 549-562 Request permission

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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