Weighted norm inequalities for the continuous square function

Author:
J. Michael Wilson

Journal:
Trans. Amer. Math. Soc. **314** (1989), 661-692

MSC:
Primary 42B20

DOI:
https://doi.org/10.1090/S0002-9947-1989-0972707-9

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

MathSciNet review:
972707

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Abstract | References | Similar Articles | Additional Information

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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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1989-0972707-9

Keywords:
Lusin area function,
weighted norm inequality,
Calderón-Zygmund operator,
Sobolev inequality,
Schrödinger operator

Article copyright:
© Copyright 1989
American Mathematical Society