Boundedness of Vector-Valued Intrinsic Square Functions in Morrey Type Spaces

الملخص EN

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 ≤ p < ∞ , 0 < κ < 1 , and in the generalized Morrey spaces L p , Φ for 1 ≤ p < ∞ , where Φ is a growth function on ( 0 , ∞ ) satisfying the doubling condition.