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 note on a maximal function of C. Fefferman and Stein


Authors: Sagun Chanillo and Richard L. Wheeden
Journal: Proc. Amer. Math. Soc. 88 (1983), 509-512
MSC: Primary 42B25
DOI: https://doi.org/10.1090/S0002-9939-1983-0699423-5
MathSciNet review: 699423
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We extend the class of weight functions for which a known inequality for the maximal function $ {T_{\lambda ,r}}(f)(x)$ is valid.


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

  • [1] S. R. Barker, An inequality for measures on a half-space, Math. Scand. 44 (1979), 92-102. MR 544581 (81j:42037)
  • [2] S. Chanillo and R. L. Wheeden, Inequalities for Peano maximal functions and Marcinkiewicz integrals (to appear). MR 714819 (85k:42045)
  • [3] C. L. Fefferman and E. M. Stein, $ {H^p}$ spaces of several variables, Acta Math. 129 (1972), 137-193. MR 0447953 (56:6263)
  • [4] B. Muckenhoupt and R. L. Wheeden, Norm inequalities for the Littlewood-Paley function $ g_\lambda ^ * $, Trans. Amer. Math. Soc. 191 (1974), 95-111. MR 0387973 (52:8810)
  • [5] A. Torchinsky, Weighted norm inequalities for the Littlewood-Paley function $ g_\lambda ^ * $, Proc. Sympos. Pure Math., vol. 35, Amer. Math. Soc., Providence, R. I., 1979. MR 545248 (82b:42017)

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/S0002-9939-1983-0699423-5
Article copyright: © Copyright 1983 American Mathematical Society

American Mathematical Society