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

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 $L^{p,κ}(w)$ when $1\leq p<\infty$, $0<κ<1$, and in the generalized Morrey spaces $L^{p,Φ}$ for $1\le p<\infty$, where $Φ$ is a growth function on $(0,\infty)$ satisfying the doubling condition.

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