Results 21 to 30 of about 74,030 (274)
Morrey spaces and fractional integral operators
Expositiones Mathematicae, 2009 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
Journal of Function Spaces and Applications, 2013 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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On positive solutions of a system of equations generated by Hadamard fractional operators
Advances in Difference Equations, 2020 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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On Some Operators Involving Hadamard Derivatives [PDF]
, 2013 In this paper we introduce a novel Mittag--Leffler-type function and study its properties in relation to some integro-differential operators involving Hadamard fractional derivatives or Hyper-Bessel-type operators.
Garra, Roberto, Polito, Federico
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Integral representation for fractional Laplace–Beltrami operators [PDF]
Advances in Mathematics, 2018 In this paper we provide an integral representation of the fractional Laplace-Beltrami operator for general riemannian manifolds which has several interesting applications. We give two different proofs, in two different scenarios, of essentially the same result. One of them deals with compact manifolds with or without boundary, while the other approach
Alonso-Orán, Diego +2 more
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AIMS Mathematics, 2021 The main goal of this article is first to introduce a new generalization of the fractional integral operators with a certain modified Mittag-Leffler kernel and then investigate the Chebyshev inequality via this general family of fractional integral ...
Hari M. Srivastava +4 more
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q-Integral inequalities associated with some fractional q-integral operators [PDF]
, 2015 In recent years fractional q-integral inequalities have been investigated by many authors. Therefore, the fractional q-integral inequalities have become one of the most powerful and far-reaching tools for the development of many branches of pure and ...
Agarwal, P +3 more
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Bounds of a Unified Integral Operator via Exponentially s,m-Convexity and Their Consequences
Journal of Function Spaces, 2020 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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A Note on Generalized Fractional Integral Operators on Generalized Morrey Spaces
Boundary Value Problems, 2009 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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Journal of Mathematics, 2020 In this paper, we define a new function, namely, harmonically α,h−m-convex function, which unifies various kinds of harmonically convex functions.
Chahn Yong Jung +4 more
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