Boundedness of vector-valued intrinsic square functions in Morrey type spaces

Abstract

In this paper, we will obtain the strong type and weak type estimates for vector-valued analogues of intrinsic square functions in the weighted Morrey spaces $L^{p,\kappa }(w)$ when $1\le p<\infty$, $0<\kappa <1$, and in the generalized Morrey spaces $L^{p,\Phi }$ for $1\le p<\infty$, where $\Phi$ is a growth function on $(0,\infty )$ satisfying the doubling condition.

14 pages