Eigenvalues of the Hodge Laplacian on the Heisenberg group.
Detlef Müller, Marco M. Peloso, Fulvio Ricci (2006)
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Detlef Müller, Marco M. Peloso, Fulvio Ricci (2006)
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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).
Marco Annoni, Loukas Grafakos, Petr Honzík (2009)
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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.
Leszek Olszowy (2010)
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Alberto Alzati (2008)
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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...
Lucio Guerra, Gian Pietro Pirola (2009)
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Jürgen Herzog, Xinxian Zheng (2006)
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New cases of the multiplicity conjecture are considered.
Margherita Barile (2007)
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We present a class of toric varieties V which, over any algebraically closed field of characteristic zero, are defined by codim V +1 binomial equations.
Anders Nedergaard Jensen, Hannah Markwig, Thomas Markwig (2008)
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Y.Q. Yan (2009)
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