Maxis smoothing operators and some Orlicz classes
C. Calderón, J. Lewis (1976)
Studia Mathematica
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C. Calderón, J. Lewis (1976)
Studia Mathematica
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B. Jessen, J. Marcinkiewicz, Antoni Zygmund (1935)
Fundamenta Mathematicae
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Marcelo Gómez (1983)
Studia Mathematica
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H. Siebert (1975)
Acta Arithmetica
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Alexander Stokolos (2005)
Annales de l’institut Fourier
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We present a simple criterion to decide whether the maximal function associated with a translation invariant basis of multidimensional intervals satisfies a weak type estimate. This allows us to complete Zygmund’s program of the description of the translation invariant bases of multidimensional intervals in the particular case of products of two cubic intervals. As a conjecture, we suggest a more precise version of Zygmund’s program.
David Adams, John Lewis (1982)
Studia Mathematica
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D. Goldston (1982)
Acta Arithmetica
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R. Tijdeman (1976)
Acta Arithmetica
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