@article{RSMUP_2013__129__225_0,
author = {Dou, Jingbo and Han, Yazhou},
title = {Ostrowski type inequalities related to the generalized Baouendi-Grushin vector fields},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
volume = {130},
year = {2013},
pages = {225-244},
mrnumber = {3090639},
zbl = {1273.26023},
language = {en},
url = {http://dml.mathdoc.fr/item/RSMUP_2013__129__225_0}
}
Dou, Jingbo; Han, Yazhou. Ostrowski type inequalities related to the generalized Baouendi-Grushin vector fields. Rendiconti del Seminario Matematico della Università di Padova, Tome 130 (2013) pp. 225-244. http://gdmltest.u-ga.fr/item/RSMUP_2013__129__225_0/
[1] Adimurthi 4 (2002), pp. 409-434. | MR 1918752
[2] Adimurthi - M. Esteban 12 (2005), pp. 243-263. | MR 2184082
[3] , Quantitative Approximations, Chapman and Hall/CRC, Boca Raton/New York, 2001. | MR 1791688
[4] - , Ostrowski type inequalities over Euclidean domains. Rend. Linc. Matem. Appl., 18 (2007), pp. 305-310. | MR 2318823
[5] - , Higher order Ostrowski type inequalities over Euclidean domains, J. Math. Anal. Appl., 337 (2008), pp. 962-968. | MR 2386345
[6] - , An extension problem related to the fractional Laplacian, Comm. Part. Diff. Eqs., 32 (2007), pp. 1245-1260. | MR 2354493
[7] - , Best constants for Moser-Trudinger inequalities on the Heisenberg group, India. Univ. Math. J., 50 (2001), pp. 1567-1591. | MR 1889071
[8] , Hardy inequalities related to Grushin type operators, Proc. Amer. Math. Soc., 132 (2004), pp. 725-734. | MR 2019949
[9] , Hardy type inequalities related to second order degenerate differential operators, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 4 (2005), pp. 451-486. | Numdam | MR 2185865
[10] - , Nonlinear Liouville theorems for Grushin and Tricomi operators, J. Diff. Eqs., 193 (2003), pp. 511-541. | MR 1998967
[11] - - , Hardy inequalities with remainder terms for the generalized Baouendi-Grushin vector fields, Math. Ineq. Appl., 13 (2010), pp. 555-570. | MR 2662838
[12] - - , Global Poincaré Inequalities on the Heisenberg Group and Applications, Acta Mathematica Sinica, English Series., 23 (2007), pp. 735-744. | MR 2308108
[13] - , Hölder regularity theorem for a class of linear nonuniformly elliptic operators with measurable coefficients, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 10 (1983), pp. 523-541. | Numdam | MR 753153
[14] - , Hardy spaces on homogeneous groups, Princeton University Press, Princeton, NJ, 1982. | MR 657581
[15] - , An embedding theorem for Sobolev spaces related to non-smooth vector fields and Harnack inequality, Comm. Part. Diff. Eqs., 9 (1984), pp. 1237-1264. | MR 764663
[16] - , Ostrowski type inequalities on H-type groups, J. Math. Anal. Appl., 365 (2010), pp. 158-166. | MR 2585086
[17] , Some Ostrowski type inequalities, Math. Comp. Model., 48 (2008), pp. 949-960. | MR 2451127
[18] - , Ostrowski type inequalities in the Grushin plane, J. Ineq. Appl. 2010, Article ID 987484, pp. 1-9. | MR 2607941
[19] - - , Nonexistence of weak solutions for the p-degenerate subelliptic inequalities constructed by the generalized Baouendi-Grushin vector fields, Georgian Math. J., 12 (2005), pp. 723-738. | MR 2197194
[20] - - , Several Hardy type inequalities with weights related to generalized greiner operator, Canad. Math. Bull., 53 (2010), pp. 153-162. | MR 2583221
[21] , Über die Absolutabweichung einer differentiebaren Funktion von ihrem Integralmittelwert. Comment. Math. Helv., 10 (1938), pp. 226-227. | MR 1509574
[22] - , Ostrowski type inequalities for higher-order derivatives, J. Ineq. Appl. 2009, Article ID 162689, pp. 1-8. | MR 2534573
[23] - , Hardy inequalities with boundary terms, Electron. J. Diff. Eqs., No. 43 (2003), 8 pp. | MR 1971109