Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

A proof of the Fefferman-Stein-Strömberg inequality for the sharp maximal functions


Author: Nobuhiko Fujii
Journal: Proc. Amer. Math. Soc. 106 (1989), 371-377
MSC: Primary 42B25
DOI: https://doi.org/10.1090/S0002-9939-1989-0946637-8
MathSciNet review: 946637
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We give another proof of a theorem of Strömberg for the Fefferman-Stein sharp maximal functions. Our method is based on a decomposition lemma which is due to the arguments of Carleson, Garnett and Jones for the functions of BMO, and it is valid for a two-weight setting under a condition which is equivalent to the $ {A_\infty }$ condition in the case of equal weights.


References [Enhancements On Off] (What's this?)

  • [1] A. P. Calderón and A. Zygmund, On the existence of certain singular integrals, Acta Math. 88 (1952), 85-139. MR 0052553 (14:637f)
  • [2] L. Carleson, Two remarks on $ {H^1}$ and BMO, Adv. in Math. 22 (1976), 267-277. MR 0477058 (57:16602)
  • [3] C. Fefferman and E. M. Stein, $ {H^p}$ spaces of several variables, Acta Math. 129 (1972), 137-193. MR 0447953 (56:6263)
  • [4] J. B. Garnett and P. W. Jones, BMO from dyadic BMO, Pacific J. Math. 99 (1982), 351-371. MR 658065 (85d:42021)
  • [5] J.-O. Strömberg, Bounded mean oscillation with Orlicz norms and duality of Hardy spaces, Indiana Univ. Math. J. 28 (1979), 511-544. MR 529683 (81f:42021)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 42B25

Retrieve articles in all journals with MSC: 42B25


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1989-0946637-8
Keywords: Sharp maximal functions, $ {A_\infty }$ condition
Article copyright: © Copyright 1989 American Mathematical Society

American Mathematical Society