Resumen de Hermite Besov and Triebel–Lizorkin spaces and applications

Fu Ken Ly, Virginia Naibo

• We present an overview of Besov and Triebel–Lizorkin spaces in the Hermite setting and applications on boundedness properties of Hermite pseudo-multipliers and fractional Leibniz rules in such spaces. We also give a new weighted estimate for Hermite multipliers for weights related to Hermite operators.