Triebel-Lizorkin sequence spaces are genuine mixed-norm spaces


  • Dedicated with friendship and respect to Professor Hans Triebel on the occasion of his 75th birthday


We show that the Triebel-Lizorkin sequence spaces are, in an appropriate context, genuine mixed-norm spaces, then use this identification together with the general machinery developed in conjunction with the latter scale of spaces to establish interpolation, duality, factorization, and other functional analytic properties of the Triebel-Lizorkin spaces.