A remark on the rational cohomology of .
Gilberto Bini, Claudio Fontanari (2009)
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Gilberto Bini, Claudio Fontanari (2009)
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Dachun Yang, Dongyong Yang (2010)
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Pascal Auscher, Frédéric Bernicot, Jiman Zhao (2009)
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Marco Annoni, Loukas Grafakos, Petr Honzík (2009)
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Amiran Gogatishvili, Bohumir Opic, Lubos Pick (2006)
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Christopher Stuart (2007)
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In this note an internal property of a ring of sets, named the Nested Partition Property, is shown to imply the Nikodym Property. A wide range of examples are shown to have this property.
Hussein M. Al-Qassem (2005)
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In this paper, we study the Marcinkiewicz integral operators M on the product space R x R. We prove that M is bounded on L(R x R) (1< p < ∞) provided that h is a bounded radial function and Ω is a function in certain block space B (S x S) for some q > 1. We also establish the optimality of our condition in the sense that the space B (S x S) cannot be replaced by B (S x S) for any −1 < r < 0. Our results...
Leszek Olszowy (2010)
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Alessandro Ghigi (2005)
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Using elementary convexity arguments involving the Legendre transformation and the Prékopa-Leindler inequality, we prove the sharp Moser-Onofri inequality, which says that 1/16π ∫|∇φ|2 + 1/4π ∫ φ - log (1/4π ∫ eφ) ≥ 0 for any funcion φ ∈ C∞(S2).
Alberto Alzati (2008)
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