Precised Hardy inequalities on and on the Heisenberg group
Hajer Bahouri, Jean-Yves Chemin, Isabelle Gallagher (2004-2005)
Séminaire Équations aux dérivées partielles
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Hajer Bahouri, Jean-Yves Chemin, Isabelle Gallagher (2004-2005)
Séminaire Équations aux dérivées partielles
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Kim, Kyeong-Hun (2005)
Electronic Journal of Probability [electronic only]
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Adam Osękowski (2014)
Open Mathematics
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We study sharp weak-type inequalities for a wide class of Fourier multipliers resulting from modulation of the jumps of Lévy processes. In particular, we obtain optimal estimates for second-order Riesz transforms, which lead to interesting a priori bounds for smooth functions on ℝd. The proofs rest on probabilistic methods: we deduce the above inequalities from the corresponding estimates for martingales. To obtain the lower bounds, we exploit the properties of laminates, important probability...
Hatem Mejjaoli, Makren Salhi (2011)
Czechoslovak Mathematical Journal
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The Weinstein transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization and a variant of Cowling-Price theorem, Miyachi's theorem, Beurling's theorem, and Donoho-Stark's uncertainty principle are obtained for the Weinstein transform.
Stewart, James, Watson, Saleem (1986)
International Journal of Mathematics and Mathematical Sciences
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Guliyev, Emin V., Mammadov, Yagub Y. (2010)
Abstract and Applied Analysis
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Shakhmurov, Veli B. (2007)
Abstract and Applied Analysis
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