A Note on Generalized Fractional Integral Operators on Generalized 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.

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

On certain fractional calculus operators involving generalized Mittag-Leffler function

The object of this paper is to establish certain generalized fractional integration and differentiation involving generalized Mittag-Leffler function defined by Salim and Faraj [25]. The considered generalized fractional calculus operators contain the Appell's function $F_3$ [2, p.224] as kernel and are introduced by Saigo and Maeda [23]. The Marichev-Saigo-Maeda fractional calculus operators a...