Generalized Fractional Integral Operators on Vanishing Generalized Local Morrey Spaces
نویسندگان
چکیده
In this paper, we prove the Spanne-Guliyev type boundedness of the generalized fractional integral operator Iρ from the vanishing generalized local Morrey spaces V LM {x0} p,φ1 to V LM {x0} q,φ2 , 1 < p < q < ∞, and from the space V LM {x0} 1,φ1 to the weak space VWLM {x0} q,φ2 , 1 < q < ∞. We also prove the Adams-Guliyev type boundedness of the operator Iρ from the vanishing generalized Morrey spaces VM p,φ 1 p to VM q,φ 1 q , 1 < p < q <∞ and from the space VM1,φ to the weak space VWM q,φ 1 q , 1 < q <∞. Mathematics Subject Classification: 42B20, 42B35, 47G10
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