Perturbations of functional inequalities using growth conditions
Tài liệu tham khảo
Aida, 1998, Uniformly positivity improving property, Sobolev inequalities and spectral gap, J. Funct. Anal., 158, 152, 10.1006/jfan.1998.3286
Aida, 1994, Logarithmic Sobolev inequalities and exponential integrability, J. Funct. Anal., 126, 83, 10.1006/jfan.1994.1142
Bobkov, 1999, Exponential integrability and transportation cost related to logarithmic Sobolev inequalities, J. Funct. Anal., 163, 1, 10.1006/jfan.1998.3326
Chafai, 2004, Entropies, convexity, and functional inequalities: on Φ-entropies and Φ-Sobolev inequalities, J. Math. Kyoto Univ., 44, 325, 10.1215/kjm/1250283556
Mu-Fa Chen, 2002, Variational formulas of Poincaré-type inequalities in Banach spaces of functions on the line, Acta Math. Sin. Engrg. Ser., 18, 417, 10.1007/s10114-002-0176-8
Gross, 1976, Logarithmic Sobolev inequalities, Amer. J. Math., 97, 1061, 10.2307/2373688
Latała, 2000, Between Sobolev and Poincaré, vol. 1745, 147
Ledoux, 1999, Concentration of measure and logarithmic Sobolev inequalities, vol. 1709, 120
Muckenhoupt, 1972, Hardy's inequality with weights, Studia Math., XLIV, 31, 10.4064/sm-44-1-31-38
Rao, 1991
Röckner, 2001, Weak Poincaré inequalities and L2-convergence rates of Markov semigroups, J. Funct. Anal., 185, 564, 10.1006/jfan.2001.3776
Feng Wang, Latała–Oleszkiewicz inequalities, Ph.D. Thesis, Beijing Normal University, 2003
Wang, 1999, Existence of the spectral gap for elliptic operators, Ark. Mat., 37, 395, 10.1007/BF02412223
Wang, 2000, Functional inequalities for empty essential spectrum, J. Funct. Anal., 170, 219, 10.1006/jfan.1999.3516
Wang, 2000, Functional inequalities, semigroup properties and spectrum estimates, Infin. Dimens. Anal. Quant. Probab. Relat. Topics, 3, 263, 10.1142/S0219025700000194
Wang, 2005, A generalization of Poincaré and logarithmic Sobolev inequalities, Potential Anal., 22, 1, 10.1007/s11118-004-4006-8
Wang, 2005