an:06199268
Zbl 1273.26023
Dou, Jingbo; Han, Yazhou
Ostrowski type inequalities related to the generalized Baouendi-Grushin vector fields
EN
Rend. Semin. Mat. Univ. Padova 129, 225-244 (2013).
00320501
2013
j
26D10 35J70
generalized Baouendi-Grushin vector fields; representation formula; Ostrowski type inequality; Hardy inequality
Summary: We employ a new method to prove a representation formula related to the generalized Baouendi-Grushin vector fields, and then the Ostrowski-type inequalities are established in the ball and bounded domain, respectively, via the representation formula and \(L^\infty\) norm of the horizontal gradient. In addition, in the same spirit, we show the Hardy inequalities with boundary term related to the generalized Baouendi-Grushin vector fields.