Duke Mathematical Journal

Maximal operators over arbitrary sets of directions

Nets Hawk Katz
Source: Duke Math. J. Volume 97, Number 1 (1999), 67-79.
First Page: Show Hide
Primary Subjects: 42B25
Secondary Subjects: 47B38
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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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Zentralblatt MATH: 0858.42012
[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.
Mathematical Reviews (MathSciNet): MR82a:32009
Zentralblatt MATH: 0451.42014
Digital Object Identifier: doi:10.2307/1971324
[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.
Mathematical Reviews (MathSciNet): MR55:6096
Zentralblatt MATH: 0342.42003
Digital Object Identifier: doi:10.1073/pnas.74.2.423
[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

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