Volume no :12, Issue no: 2, December (2011)

Journal of Mathematical Sciences: Advances and Applications

THE OPERATOR IDEAL AND KERNELS RELATED TO BESOV FUNCTION SPACES

Author's: M. A. FUGAROLAS
Pages: [81] - [90]
Received Date: October 25, 2011
Submitted by:

Abstract

Let be the operator ideal of absolutely 2-summing operators and be his square. In this paper, we give sufficient conditions under which certain kinds of integral operator, induced by kernels related to Besov spaces, belongs to In this context, we also consider the case of a continuous Lipschitz space-valued kernel.

Keywords

operator ideals, Besov spaces, integral operators.