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Referencias:

• Acosta, G., Borthagaray, J.P., Fractional Laplace equation: Regularity of solutions and finite element approximations (2017) SIAM J. Numer. Anal, 55 (2), pp. 472-495
• Acosta, G., Durán, R.G., Lombardi, A.L., Weighted Poincaré and Korn inequalities for Hölder α domains (2006) Math. Methods Appl. Sci, 29 (4), pp. 387-400
• Bellido, J.C., Mora-Corral, C., Existence for nonlocal variational problems in peridynamics (2014) SIAM J. Math. Anal, 46 (1), pp. 890-916
• Boas, H.P., Straube, E.J., Integral inequalities of Hardy and Poincaré type (1988) Proc. Amer. Math. Soc, 103 (1), pp. 172-176
• Buckley, S., Koskela, P., Sobolev-Poincaré implies John (1995) Math. Res. Lett, 2 (5), pp. 577-593
• Chua, S.-K., Weighted Sobolev inequalities on domains satisfying the Boman chain condition (1993) Proc. Amer. Math. Soc, 117 (2), pp. 449-457
• Chua, S.-K., Wheeden, R.L., Self-improving properties of inequalities of Poincaré type on measure spaces and applications (2008) J. Funct. Anal, 255 (11), pp. 2977-3007
• Chua, S.-K., Wheeden, R.L., Self-improving properties of inequalities of Poincaré type on s-John domains (2011) Pacific J. Math, 250 (1), pp. 67-108
• Drelichman, I., Durán, R.G., Improved Poincaré inequalities with weights (2008) J. Math. Anal. Appl, 347 (1), pp. 286-293
• Durán, R., Muschietti, M.A., Russ, E., Tchamitchian, P., Divergence operator and Poincaré inequalities on arbitrary bounded domains (2010) Complex Var. Elliptic Equ, 55 (8-10), pp. 795-816
• Dyda, B., On comparability of integral forms (2006) J. Math. Anal. Appl, 318 (2), pp. 564-577
• Dyda, B., Ihnatsyeva, L., Vähäkangas, A.V., On improved fractional Sobolev-Poincaré inequalities (2016) Ark. Mat, 54 (2), pp. 437-454
• Hajlasz, P., Sobolev inequalities, truncation method, and John domains (2001) Papers on Analysis: A volume dedicated to Olli Martio on the occasion of his 60th birthday, pp. 109-126. , Report. Univ. Jyväskylä
• Hajlasz, P., Koskela, P., Isoperimetric inequalities and imbedding theorems in irregular domains (1998) J. London Math. Soc. (2), 58 (2), pp. 425-450
• Harjulehto, P., Hurri-Syrjänen, R., An embedding into an Orlicz space for L1 1-functions from irregular domains (2015) Complex analysis and dynamical systems VI, Part 1, Contemp. Math, Israel Math. Conf. Proc., Amer. Math. Soc, 653, pp. 177-189. , Providence, RI
• Harjulehto, P., Hurri-Syrjänen, R., Pointwise estimates to the modified Riesz potential (2017) Manuscripta Math
• Hedberg, L.I., On certain convolution inequalities (1972) Proc. Amer. Math. Soc, 36, pp. 505-510
• Hurri-Syrjänen, R., An improved Poincaré inequality (1994) Proc. Amer. Math. Soc, 120 (1), pp. 213-222
• Hurri-Syrjänen, R., A weighted Poincaré inequality with a doubling weight (1998) Proc. Amer. Math. Soc, 126 (2), pp. 545-552
• Hurri-Syrjänen, R., Vähäkangas, A., On fractional Poincaré inequalities (2013) J. Anal. Math, 120, pp. 85-104
• Jost, J., Partial differential equations (2002) Grad. Texts in Math, 214. , Springer-Verlag, New York
• Kilpeläinen, T., Malý, J., Sobolev inequalities on sets with irregular boundaries (2000) Z. Anal. Anwend, 19 (2), pp. 369-380
• Martio, O., John domains, bi-Lipschitz balls and Poincaré inequality (1988) Rev. Roumaine Math. Pures Appl, 33 (1-2), pp. 107-112
• Moen, K., Sharp one-weight and two-weight bounds for maximal operators (2009) Studia Math, 194 (2), pp. 163-180
• Nikodym, O., Sur une classe de fonctions considérée dans l'étude du problème de Dirichlet (1933) Fundam. Math, 21 (1), pp. 129-150
• Zhou, Y., Fractional Sobolev extension and imbedding (2015) Trans. Amer. Math. Soc, 367 (2), pp. 959-979

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