The best constant in weighted Poincaré and Friedrichs inequalities
Salvatore Leonardi (1994)
Rendiconti del Seminario Matematico della Università di Padova
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Salvatore Leonardi (1994)
Rendiconti del Seminario Matematico della Università di Padova
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G. Greaves (1985)
Banach Center Publications
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Petr Gurka, Alois Kufner (1989)
Banach Center Publications
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Bichegkuev, M.S. (1999)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Michelangelo Franciosi (1989)
Studia Mathematica
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B. E. Wynne, T. V. Narayana (1981)
Cahiers du Bureau universitaire de recherche opérationnelle Série Recherche
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Geraldo Soares De Souza (1990)
Colloquium Mathematicae
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Antonio Avantaggiati, Paola Loreti (2009)
Bollettino dell'Unione Matematica Italiana
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In this paper we obtain a more general inequality with respect to a well known inequality due to Gagliardo (see [4], [5]). The inequality contained in [4], [5] has been extended to weighted spaces, obtained as cartesian product of measurable spaces. As application, we obtain a first order weighted Sobolev inequality. This generalize a previous result obtained in [2].
Elke Wolf (2009)
Annales Polonici Mathematici
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Let ϕ: → and ψ: → ℂ be analytic maps. They induce a weighted composition operator acting between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces. Under some assumptions on the weights we give a necessary as well as a sufficient condition for such an operator to be bounded resp. compact.
Elke Wolf (2011)
Annales Polonici Mathematici
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Let ϕ: → and ψ: → ℂ be analytic maps. They induce a weighted composition operator acting between weighted Bergman spaces of infinite order and weighted Bloch type spaces. Under some assumptions on the weights we give a characterization for such an operator to be bounded in terms of the weights involved as well as the functions ψ and ϕ
Usanetashvili, Mikheil (1997)
Memoirs on Differential Equations and Mathematical Physics
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Kinnunen, Juha (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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César Rosales (2014)
Analysis and Geometry in Metric Spaces
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Let be an open half-space or slab in ℝn+1 endowed with a perturbation of the Gaussian measure of the form f (p) := exp(ω(p) − c|p|2), where c > 0 and ω is a smooth concave function depending only on the signed distance from the linear hyperplane parallel to ∂ Ω. In this work we follow a variational approach to show that half-spaces perpendicular to ∂ Ω uniquely minimize the weighted perimeter in Ω among sets enclosing the same weighted volume. The main ingredient of the proof is the...