A generalization of a logarithmic Sobolev inequality to the Hölder class

@inproceedings{Ibrahim2010AGO,
  title={A generalization of a logarithmic Sobolev inequality to the H{\"o}lder class},
  author={H. Ibrahim},
  year={2010}
}
In a recent work of the author, a parabolic extension of the elliptic Ogawa type inequality has been established. This inequality is originated from the Brézis-Gallouët-Wainger logarithmic type inequalities revealing Sobolev embeddings in the critical case. In this paper, we improve the parabolic version of Ogawa inequality by allowing it to cover not only… CONTINUE READING