Weighted norm inequalities for the continuous square function

Wilson, J. Michael

doi:10.1090/S0002-9947-1989-0972707-9

Weighted norm inequalities for the continuous square function
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Trans. Amer. Math. Soc. 314 (1989), 661-692 Request permission

Erratum: Trans. Amer. Math. Soc. 321 (1990), 415.

Abstract:

We prove new weighted norm inequalities for real-variable analogues of the Lusin area function. We apply our results to obtain new: (i) weighted norm inequalities for singular integral operators; (ii) weighted Sobolev inequalities; (iii) eigenvalue estimates for degenerate Schrödinger operators.

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weighted norm inequalities for the square function