An extrapolation theorem in the theory of weights

Author:
José García-Cuerva

Journal:
Proc. Amer. Math. Soc. **87** (1983), 422-426

MSC:
Primary 42B25; Secondary 47A30

MathSciNet review:
684631

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A new proof is given of the extrapolation theorem of J. L. Rubio de Francia [**7**]. Unlike the proof in [**7**], the proof presented here is independent of the theory of vector valued inequalities.

**[1]**R. R. Coifman and C. Fefferman,*Weighted norm inequalities for maximal functions and singular integrals*, Studia Math.**51**(1974), 241–250. MR**0358205****[2]**R. Coifman, P. Jones and J. L. Rubio de Francia,*On a constructive decomposition of B.M.O. functions and factorizations of**weights*, Proc. Amer. Math. Soc. (to appear).**[3]**Richard A. Hunt and Wo Sang Young,*A weighted norm inequality for Fourier series*, Bull. Amer. Math. Soc.**80**(1974), 274–277. MR**0338655**, 10.1090/S0002-9904-1974-13458-0**[4]**Peter W. Jones,*Factorization of 𝐴_{𝑝} weights*, Ann. of Math. (2)**111**(1980), no. 3, 511–530. MR**577135**, 10.2307/1971107**[5]**Benjamin Muckenhoupt,*Weighted norm inequalities for the Hardy maximal function*, Trans. Amer. Math. Soc.**165**(1972), 207–226. MR**0293384**, 10.1090/S0002-9947-1972-0293384-6**[6]**José L. Rubio de Francia,*Weighted norm inequalities and vector valued inequalities*, Harmonic analysis (Minneapolis, Minn., 1981) Lecture Notes in Math., vol. 908, Springer, Berlin-New York, 1982, pp. 86–101. MR**654181****[7]**-,*Factorization theory and**weights*, Amer. J. Math. (to appear).

Retrieve articles in *Proceedings of the American Mathematical Society*
with MSC:
42B25,
47A30

Retrieve articles in all journals with MSC: 42B25, 47A30

Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1983-0684631-X

Keywords:
weights

Article copyright:
© Copyright 1983
American Mathematical Society