Søren FournaisLaboratoire de Mathématiques, Université Paris-Sud-Bât 425Maria Hoffmann-OstenhofInstitut für Mathematik, Universität WienThomas Hoffmann-OstenhofInstitut für Theoretische Chemie, Universität WienThomas Østergaard SørensenDepartment of Mathematical Sciences, Aalborg University
We determine the smallest Schatten class containing all integral operators with kernels in$L$_{p}(L_{p', q})^{symm}, where 2 <$p$∞ and 1≦$q$≦∞. In particular, we give a negative answer to a problem posed by Arazy, Fisher, Janson and Peetre in [1].