JournalsrsmupVol. 129pp. 225–244

Ostrowski Type Inequalities Related to the Generalized Baouendi-Grushin Vector Fields

  • Jingbo Dou

    XI'AN University of Finance and Economics, Xian, Shaanxi, China
  • Yazhou Han

    China Jiliang University, Hangzhou, China
Ostrowski Type Inequalities Related to the Generalized Baouendi-Grushin Vector Fields cover
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Abstract

In this paper, we employ a new method to prove a representation formula related to the generalized Baouendi-Grushin vector fields, and then the Ostrowski type inequalities is established in the ball and bounded domain, respectively, via the representation formula and LL^\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.

Cite this article

Jingbo Dou, Yazhou Han, Ostrowski Type Inequalities Related to the Generalized Baouendi-Grushin Vector Fields. Rend. Sem. Mat. Univ. Padova 129 (2013), pp. 225–244

DOI 10.4171/RSMUP/129-13