A double weight extrapolation theorem
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- by C. J. Neugebauer PDF
- Proc. Amer. Math. Soc. 93 (1985), 451-455 Request permission
Abstract:
If an operator is of weak type $({p_0},{p_0})$ with weights $(u,\upsilon )$ for every $(u,\upsilon ) \in {A_{{p_0}}}$, then the same holds for $1 < p < {p_0}$.References
- José García-Cuerva, An extrapolation theorem in the theory of $A_{p}$ weights, Proc. Amer. Math. Soc. 87 (1983), no. 3, 422–426. MR 684631, DOI 10.1090/S0002-9939-1983-0684631-X
- Richard A. Hunt, On $L(p,\,q)$ spaces, Enseign. Math. (2) 12 (1966), 249–276. MR 223874
- Benjamin Muckenhoupt, Weighted norm inequalities for the Hardy maximal function, Trans. Amer. Math. Soc. 165 (1972), 207–226. MR 293384, DOI 10.1090/S0002-9947-1972-0293384-6
- Benjamin Muckenhoupt and Richard L. Wheeden, Two weight function norm inequalities for the Hardy-Littlewood maximal function and the Hilbert transform, Studia Math. 55 (1976), no. 3, 279–294. MR 417671, DOI 10.4064/sm-55-3-279-294
- José Luis Rubio de Francia, Factorization and extrapolation of weights, Bull. Amer. Math. Soc. (N.S.) 7 (1982), no. 2, 393–395. MR 663793, DOI 10.1090/S0273-0979-1982-15047-9
Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 451-455
- MSC: Primary 42B25
- DOI: https://doi.org/10.1090/S0002-9939-1985-0774001-X
- MathSciNet review: 774001