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Fractional Integral Operators [PDF]
equipped with a positive Radon measure .
Sijuwade, Adebowale
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Morrey spaces and fractional integral operators [PDF]
The present paper is devoted to the boundedness of fractional integral operators in Morrey spaces defined on quasimetric measure spaces. In particular, Sobolev, trace and weighted inequalities with power weights for potential operators are established.
Eridani +2 more
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Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces
We prove weak type inequalities for some integral operators, especially generalized fractional integral operators, on generalized Morrey spaces of nonhomogeneous type.
Hendra Gunawan +3 more
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Fractional integral operators with homogeneous kernels on generalized Lorentz-Morrey spaces
We establish the mapping properties of the fractional integral operators with homogeneous kernels on generalized Lorentz-Morrey spaces. Mathematics subject classification (2010): Fractional integral operators, Morrey spaces, Lorentz spaces.
T. Yee, K. Ho
semanticscholar +1 more source
On positive solutions of a system of equations generated by Hadamard fractional operators
This paper is devoted to studying some systems of quadratic differential and integral equations with Hadamard-type fractional order integral operators.
Amira M. Abdalla +2 more
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Singular Integrals and Fractional Powers of Operators [PDF]
Recently R. Wheeden studied a class of singular integral operators, the hypersingular integrals, as operators from L p
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Subordination results for a fractional integral operator
Summary: In this paper, we establish several differential subordinations regarding the operator \(D_z^{-\lambda }SR^{m,n}\) defined using the fractional integral of the differential operator \(SR^{m,n}\), obtained as a convolution product of Sălăgean operator \(S^m\) and Ruscheweyh derivative \(R^n\).
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A Note on Generalized Fractional Integral Operators on Generalized Morrey Spaces
We show some inequalities for generalized fractional integral operators on generalized Morrey spaces. We also show the boundedness property of the generalized fractional integral operators on the predual of the generalized Morrey spaces.
Yoshihiro Sawano +2 more
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Bounds of a Unified Integral Operator via Exponentially s,m-Convexity and Their Consequences
Various known fractional and conformable integral operators can be obtained from a unified integral operator. The aim of this paper is to find bounds of this unified integral operator via exponentially s,m-convex functions.
Yi Hu +3 more
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Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities.
Vivas-Cortez Miguel +3 more
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