Sobolev inequalities, the Poisson semigroup, and analysis on the sphere Sn.

AUTOR(ES)

Beckner, W

RESUMO

Hypercontractive estimates are obtained for the Poisson semigroup on Lp(Sn). Such estimates are determined by a sharp logarithmic Sobolev inequality that relates the entropy of a function on Sn to its smoothness.

Documentos Relacionados

• Global environmental change and health: impacts, inequalities, and the health sector
• General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities
• Real interpolation methods and Sobolev and Besov espaces on the Sd sphere
• Much still needs to be done in England to tackle health inequalities, health department admits
• ON THE IMBEDDING OF A FINITE COMMUTATIVE SEMIGROUP OF IDEMPOTENTS IN A UNIQUELY FACTORABLE SEMIGROUP*