Journal of Inequalities and Applications 
Volume 3 (1999), Issue 4, Pages 389-400
doi:10.1155/S1025583499000259

A logarithmic extension of the Hölder inequality

J. Ginibre1 and G. Velo2

 1Laboratoire de Physique Théorique et Hautes Energies, Université de Paris XI, bâtiment 211, Orsay Cedex 91405, France
2Dipartimento di Fisica, Università di Bologna and INFN, Sezione di Bologna, Italy
Received 9 March 1998; Revised 14 September 1998

Abstract

We prove a logarithmic extension of the Höllder inequality, motivated by an application to the complex Ginzburg–Landau equation.