The Hilbert transform and rearrangement of functions
R. O'Neil, G. Weiss (1963)
Studia Mathematica
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R. O'Neil, G. Weiss (1963)
Studia Mathematica
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Bučkovska, Aneta (2001)
Novi Sad Journal of Mathematics
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V. Červený, J. Zahradník (1975)
Acta Universitatis Carolinae. Mathematica et Physica
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Erin Terwilleger (2007)
Studia Mathematica
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The purpose of this article is to obtain a multidimensional extension of Lacey and Thiele's result on the boundedness of a model sum which plays a crucial role in the boundedness of the bilinear Hilbert transform in one dimension. This proof is a simplification of the original proof of Lacey and Thiele modeled after the presentation of Bilyk and Grafakos.
Guessous, Mohamed (1997)
Journal of Convex Analysis
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Bernstein, S. (1999)
Zeitschrift für Analysis und ihre Anwendungen
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T. M. Wolniewicz (1987)
Colloquium Mathematicae
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(2016)
Banach Center Publications
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In this short survey paper we state the Büchi conjecture and discuss its relations with the Hilbert Tenth Problem. We give some generalizations of the conjecture, and include some numerical examples.
G.O. Okikiolu (1965)
Mathematische Zeitschrift
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S. Kwapien (1972-1973)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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S. Pilipović (1987)
Rendiconti del Seminario Matematico della Università di Padova
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Lothar Göttsche (1990)
Manuscripta mathematica
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Petruševski, Ljiljana (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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Petruševski, Ljiljana (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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