Littlewood-Paley-Stein operators on Damek-Ricci spaces

Abstract

We obtain pointwise upper bounds on the derivatives of the heat kernel on Damek-Ricci spaces. Applying these estimates we prove the $L^p$-boundedness of Littlewood-Paley-Stein operators.

arXiv commentarXiv admin note: text overlap with arXiv:1704.01359