Some weighted sum and product inequalities in spaces and their applications.
Brown, R.C. (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Brown, R.C. (2008)
Banach Journal of Mathematical Analysis [electronic only]
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P. Bolley, J. Camus, The Lai Pham (1978)
Publications mathématiques et informatique de Rennes
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Salvatore Leonardi (1994)
Rendiconti del Seminario Matematico della Università di Padova
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Wojciech M. Zajączkowski (2002)
Applicationes Mathematicae
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Using the Il'in integral representation of functions, imbedding theorems for weighted anisotropic Sobolev spaces in 𝔼ⁿ are proved. By the weight we assume a power function of the distance from an (n-2)-dimensional subspace passing through the domain considered.
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].
Angel Gatto, Cristian Gutiérrez (1983)
Studia Mathematica
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Petr Gurka, Alois Kufner (1989)
Banach Center Publications
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Matteo Bonforte, Gabriele Grillo (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
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We investigate the connection between certain logarithmic Sobolev inequalities and generalizations of Gagliardo-Nirenberg inequalities. A similar connection holds between reverse logarithmic Sobolev inequalities and a new class of reverse Gagliardo-Nirenberg inequalities.
Bruno Franchi, Piotr Hajłasz (2000)
Annales Polonici Mathematici
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We prove that if a Poincaré inequality with two different weights holds on every ball, then a Poincaré inequality with the same weight on both sides holds as well.
J. Pečarić (1980)
Matematički Vesnik
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Juha Heinonen, Pekka Koskela (1995)
Mathematica Scandinavica
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Jiří Rákosník (1989)
Banach Center Publications
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