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Abstract:

In this paper we prove that if Ω ∈ Rn is a bounded John domain, the following weighted Poincaré-type inequality holds:under(inf, a ∈ R) {norm of matrix} f (x) - a {norm of matrix}Lq (Ω, w1) ≤ C {norm of matrix} ∇ f (x) d (x)α {norm of matrix}Lp (Ω, w2) where f is a locally Lipschitz function on Ω, d (x) denotes the distance of x to the boundary of Ω, the weights w1, w2 satisfy certain cube conditions, and α ∈ [0, 1] depends on p, q and n. This result generalizes previously known weighted inequalities, which can also be obtained with our approach. © 2008 Elsevier Inc. All rights reserved.

Registro:

Documento: Artículo
Título:Improved Poincaré inequalities with weights
Autor:Drelichman, I.; Durán, R.G.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Palabras clave:John domains; Reverse doubling weights; Weighted Poincaré inequality; Weighted Sobolev inequality
Año:2008
Volumen:347
Número:1
Página de inicio:286
Página de fin:293
DOI: http://dx.doi.org/10.1016/j.jmaa.2008.06.005
Título revista:Journal of Mathematical Analysis and Applications
Título revista abreviado:J. Math. Anal. Appl.
ISSN:0022247X
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_0022247X_v347_n1_p286_Drelichman.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v347_n1_p286_Drelichman

Referencias:

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Citas:

---------- APA ----------
Drelichman, I. & Durán, R.G. (2008) . Improved Poincaré inequalities with weights. Journal of Mathematical Analysis and Applications, 347(1), 286-293.
http://dx.doi.org/10.1016/j.jmaa.2008.06.005
---------- CHICAGO ----------
Drelichman, I., Durán, R.G. "Improved Poincaré inequalities with weights" . Journal of Mathematical Analysis and Applications 347, no. 1 (2008) : 286-293.
http://dx.doi.org/10.1016/j.jmaa.2008.06.005
---------- MLA ----------
Drelichman, I., Durán, R.G. "Improved Poincaré inequalities with weights" . Journal of Mathematical Analysis and Applications, vol. 347, no. 1, 2008, pp. 286-293.
http://dx.doi.org/10.1016/j.jmaa.2008.06.005
---------- VANCOUVER ----------
Drelichman, I., Durán, R.G. Improved Poincaré inequalities with weights. J. Math. Anal. Appl. 2008;347(1):286-293.
http://dx.doi.org/10.1016/j.jmaa.2008.06.005