Littlewood-Paley Functions and Triebel-Lizorkin Spaces, Besov Spaces
Littlewood-Paley Functions and Triebel-Lizorkin Spaces, Besov Spaces
We establish Littlewood-Paley charaterizations of Triebel-Lizorkin spaces and Besov spaces in Euclidean spaces using several square functions defined via the spherical average, the ball average, the Bochner-Riesz means and some other wellknown operators.We provide a simple proof so that we are able to extend and improve many results published in …