caa a22 4500 467945845 CHVBK 20180405193737.0 cr unu---uuuuu 170328e20050201xx s 000 0 eng 10.1007/s11118-003-4006-0 doi (NATIONALLICENCE)springer-10.1007/s11118-003-4006-0 (NATIONALLICENCE)springer-10.1007/s11118-004-4006-8 Wang Feng-Yu Department of Mathematics, Beijing Normal University, 100875, Beijing, China aut A Generalization of Poincaré and Log-Sobolev Inequalities [Elektronische Daten] [Feng-Yu Wang] A generalized Beckner-type inequality interpolating the Poincaré and the log-Sobolev inequalities is studied. This inequality possesses the additivity property and characterizes certain exponential convergence of the corresponding Markov semi-group. A correspondence between this inequality and the so-called F-Sobolev inequality is presented, with the known criteria of the latter applying also to the former. In particular, an important result of Latała and Oleszkiewicz is generalized. Springer, 2005 functional inequality nationallicence Markov semi-group nationallicence concentration nationallicence Potential Analysis Kluwer Academic Publishers 22/1(2005-02-01), 1-15 0926-2601 22:1<1 2005 22 11118 https://doi.org/10.1007/s11118-003-4006-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11118-003-4006-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Wang Feng-Yu Department of Mathematics, Beijing Normal University, 100875, Beijing, China aut NATIONALLICENCE 773 0- Potential Analysis Kluwer Academic Publishers 22/1(2005-02-01), 1-15 0926-2601 22:1<1 2005 22 11118 NATIONALLICENCE 856 40 https://doi.org/10.1007/s11118-004-4006-8 text/html Onlinezugriff via DOI Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE NATIONALLICENCE NL-springer