Results 31 to 40 of about 8,913,878 (219)
Journal of Function Spaces and Applications, 2013 The boundedness of the various operators on B˙σ-Morrey spaces is considered in the framework of the Littlewood-Paley decompositions. First, the Littlewood-Paley characterization of B˙σ-Morrey-Campanato spaces is established.
Yasuo Komori-Furuya +3 more
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B-RIESZ POTENTIAL IN B-LOCAL MORREY-LORENTZ SPACES [PDF]
In this paper, the Riesz potential (B-Riesz potential) which are generated by the Laplace-Bessel differential operator will be studied. We obtain the necessary and sufficient conditions for the boundedness of the B-Riesz potential I gamma alpha in the B ...
Kaya, Esra, Aykol, Canay
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Some weak geometric inequalities for the Riesz potential
, 2020 In the present paper, we prove that the first eigenvalue of the Riesz potential is weakly maximised in a quasi-ball among all Haar measurable sets on homogeneous Lie groups. It is an analogue of the classical Rayleigh-Faber-Krahn inequality for the Riesz
Kassymov, Aidyn +2 more
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Characterizations for the Riesz potential and its commutators on generalized Orlicz-Morrey spaces
Journal of Inequalities and Applications, 2016 In the present paper, we shall give a characterization for the Spanne and Adams type boundedness of the Riesz potential and its commutators on the generalized Orlicz-Morrey spaces, respectively.
Fatih Deringoz +2 more
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A Note on Riesz Potentials and the First Eigenvalue [PDF]
Proceedings of the American Mathematical Society, 1993 In this paper, we consider the boundedness of Riesz potentials on positively curved manifolds. As an application, we get the greatest lower bound of the essential spectrum of a positively curved manifold.
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Boundedness of the Riesz Potential in Local Morrey-Type Spaces [PDF]
, 2011 The problem of boundedness of the Riesz potential in local Morrey-type spaces is reduced to the problem of boundedness of the Hardy operator in weighted L p -spaces on the cone of non-negative non-increasing functions.
Gogatishvili A. +3 more
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Some New Sobolev-Type Theorems for the Rough Riesz Potential Operator on Grand Variable Herz Spaces
MathematicsIn this paper, our first objective is to define the idea of grand variable Herz spaces. Then, our main goal is to prove boundedness results for operators, including the rough Riesz potential operator of variable order and the fractional Hardy operators ...
Ghada AlNemer +3 more
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Restricting Riesz–Morrey–Hardy potentials
Journal of Differential Equations, 2017 This paper concerns the study of continuity of the Riesz operator \(I_\alpha\) of order \(\alpha\) between the Morey-Hardy space \(LH^{p,\kappa}\) and the Morey-Radon space \(L_\mu^{q,\lambda}\). More precisely, the main result established is the following.
Liu, Liguang, Xiao, Jie
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On behaviour of the Riesz and generalized Riesz potentials as order tends to zero [PDF]
Mathematical Inequalities & Applications, 2007 In this paper, we present the Riesz potentials Iα and the generalized Riesz potentials Iα ν as the families of positive linear operators, depending on parameter α > 0. We investigate their pointwise convergence and convergence in the norm as α → 0. We investigate also the order of approximation of these families and show in particular that the order of
Gadjiev, A. D. +2 more
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Characterization of Riesz and Bessel potentials on variable Lebesgue spaces
Journal of Function Spaces and Applications, 2006 Riesz and Bessel potential spaces are studied within the framework of the Lebesgue spaces with variable exponent. It is shown that the spaces of these potentials can be characterized in terms of convergence of hypersingular integrals, if one assumes that
Alexandre Almeida, Stefan Samko
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