Journal of Inequalities and Applications 
Volume 2 (1998), Issue 2, Pages 121-135
doi:10.1155/S1025583498000071

Carlson type inequalities

Sorina Barza,1 Josip Pečarić,2 and Lars-Erink Persson1

 1Department of Mathematics, Luleå University, Luleå S-97187, Sweden
2Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, Zagreb 41000, Croatia
Received 12 February 1997

Abstract

A scale of Carlson type inequalities are proved and the best constants are found. Some multidimensional versions of these inequalities are also proved and it is pointed out that also a well-known inequality by Beurling–Kjellberg is included as an endpoint case.