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

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

MathSciNet review:
684631

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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. Coifman and C. Fefferman,*Weighted norm inequalities for maximal functions and singular integrals*, Studia Math.**51**(1974), 241-250. MR**0358205 (50:10670)****[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]**R. Hunt and W. S. Young,*A weighted norm inequality for Fourier series*, Bull. Amer. Math. Soc.**80**(1974), 274-277. MR**0338655 (49:3419)****[4]**P. Jones,*Factorization of**weights*, Ann. of Math.**111**(1980), 511-530. MR**577135 (82b:46035)****[5]**B. Muckenhoupt,*Weighted norm inequalities for the Hardy maximal function*, Trans. Amer. Math. Soc.**165**(1972), 207-226. MR**0293384 (45:2461)****[6]**J. L. Rubio de Francia,*Weighted norm inequalities and vector valued inequalities*, Lecture Notes in Math., vol. 908, Springer-Verlag, Berlin and New York, 1982, pp. 86-101. MR**654181 (83h:42025)****[7]**-,*Factorization theory and**weights*, Amer. J. Math. (to appear).

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

Keywords:
weights

Article copyright:
© Copyright 1983
American Mathematical Society