Maximal operators over arbitrary sets of directions
Nets Hawk Katz
Source: Duke Math. J. Volume 97, Number 1
(1999), 67-79.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077228501
Mathematical Reviews number (MathSciNet): MR1681088
Zentralblatt MATH identifier: 0942.42009
Digital Object Identifier: doi:10.1215/S0012-7094-99-09702-8
References
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[ChF] Sun-Yung A. Chang and Robert Fefferman, A continuous version of duality of $H\sp1$ with BMO on the bidisc, Ann. of Math. (2) 112 (1980), no. 1, 179–201.
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Digital Object Identifier: doi:10.2307/1971324
JSTOR: links.jstor.org
[CF] A. Cordoba and R. Fefferman, On the equivalence between the boundedness of certain classes of maximal and multiplier operators in Fourier analysis, Proc. Nat. Acad. Sci. U.S.A. 74 (1977), no. 2, 423–425.
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Zentralblatt MATH: 0342.42003
Digital Object Identifier: doi:10.1073/pnas.74.2.423
JSTOR: links.jstor.org
[D] J. Duoandikoetxea Zuazo, Análisis de Fourier, 1991, Ediciones de la Universidad Autonoma de Madrid.
[St] Jan-Olov Strömberg, Maximal functions associated to rectangles with uniformly distributed directions, Ann. Math. (2) 107 (1978), no. 2, 399–402.
Mathematical Reviews (MathSciNet): MR58:1978
Zentralblatt MATH: 0364.47032
Digital Object Identifier: doi:10.2307/1971122
Duke Mathematical Journal