Fractional integral operators on central Morrey spaces

Generalized Fractional Integral Operators on Vanishing Generalized Local Morrey Spaces

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...

Fractional Integral Operators in Generalized Morrey Spaces Defined on Metric Measure Spaces

We derive some necessary and sufficient conditions for the boundedness of fractional integral operators in generalized Morrey spaces defined on metric measure spaces. îâäæñéâ. áŽéðçæùâIJñèæŽ äëéæŽê éâðîæçñè ïæãîùââIJäâ àŽêïŽäôãîñèæ àŽêäëàŽáëâIJñè ûæèŽáñîæ æêðâàîŽèñîæ ëìâîŽðëîæï öâéëïŽäôãîñèëIJæï ŽñùæèâIJâèæ ᎠïŽçéŽîæïæ ìæîëIJâIJæ.

Weighted inequalities for fractional integral operators and linear commutators in the Morrey-type spaces

In this paper, we first introduce some new Morrey-type spaces containing generalized Morrey space and weighted Morrey space with two weights as special cases. Then we give the weighted strong type and weak type estimates for fractional integral operators [Formula: see text] in these new Morrey-type spaces. Furthermore, the weighted strong type estimate and endpoint estimate of linear commutator...

Notes on Commutators of Fractional Integral Operatros on Generalized Morrey Spaces

We show that b ∈ BMO( n) if and only if the commutator [b, Iα] of the multiplication operator by b and the fractional integral operator Iα is bounded from generalized Morrey spaces Lp,φ( n) to Lq,φ q/p ( n), where φ is non-decreasing, and 1 < p < ∞, 0 < α < n and 1/q = 1/p− α/n.

Boundedness of Multilinear Integral Operators and Their Commutators on Generalized Morrey Spaces