Improved Sobolev inequalities on the Heisenberg group
β Scribed by Annunziata Loiudice
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 194 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
In this paper we will prove the logarithmic Sobolev inequality on free loop groups for various heat kernel measures which P. Malliavin (1989Malliavin ( , 1991, in ``Diffusion Process and Related Problems in Analysis (M. A. Pinsley, Ed.), Vol. I, Birkha user, Basel) constructed. Those measures are as
## Abstract We solve in various spaces the linear equations __L~Ξ±~g__ = __f__ , where __L~Ξ±~__ belongs to a class of transversally elliptic second order differential operators on the Heisenberg group with double characteristics and complexβvalued coefficients, not necessarily locally solvable. (Β© 2