Results 11 to 20 of about 2,392,144 (197)
Sobolev Embeddings for Generalized Riesz Potentials of Functions in Morrey Spaces over Nondoubling Measure Spaces [PDF]
Journal of Function Spaces and Applications, 2013 Our aim in this paper is to deal with the Sobolev embeddings for generalized Riesz potentials of functions in Morrey spaces over nondoubling measure spaces.
Yoshihiro Sawano, Tetsu Shimomura
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A New Approach to Continuous Riesz Bases [PDF]
Journal of Sciences, Islamic Republic of Iran, 2013 This paper deals with continuous frames and continuous Riesz bases. We introduce continuous Riesz bases and give some equivalent conditions for a continuous frame to be a continuous Riesz basis.
A.A. Arefijamaal +3 more
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A note on Riesz space valued measures
TURKISH JOURNAL OF MATHEMATICS, 2016 Summary: In this paper, some properties of Riesz space valued measures that are defined on an algebra of sets are obtained. The question of under what conditions \(oba(\mathcal{F},E)\) =\(a(\mathcal{F},E)\) for a given Dedekind complete Riesz space \(E\) is answered under natural conditions.
Tan, Neşet Özkan
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Fractional variational problems with the Riesz-Caputo derivative [PDF]
, 2012 In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R. +2 more
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Regularity of Riesz Measures [PDF]
Proceedings of the American Mathematical Society, 1986 It is shown that Riesz measures are inner regular, i.e., each Borel set may be approximated from inside by closed sets, if the basic space is metacompact or para-Lindelöf. On the other hand, an example is given to show that local compactness is not sufficient to ensure inner regularity of Riesz measures.
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Multilinear Riesz Potential on Morrey-Herz Spaces with Non-Doubling Measures
Journal of Inequalities and Applications, 2010 The authors consider the multilinear Riesz potential operator defined by ℐα,m(f⃗)(x)=∫(ℝd)m(f1(y1)f2(y2)⋯fm(ym)/|(x-y1,…,x-ym)|mn-α)dμ(y1)⋯dμ(ym), where f⃗ ...
Yanlong Shi, Xiangxing Tao, Taotao Zheng
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Riesz transforms on the Hardy space associated with generalized Schrödinger operators
Journal of Inequalities and Applications, 2019 Let L=−Δ+μ $\mathcal{L}=-\Delta +\mu $ be a generalized Schrödinger operator, where the measure μ is a nonnegative Radon measure. In this paper, we establish the molecular characterization of the Hardy type space HL1(Rn) $H^{1}_{\mathcal{L}}(\mathbb{R ...
Yixin Wang, Pengtao Li
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Asymptotics of $\delta$-subharmonic functions of finite order
Математичні Студії, 2020 For $\delta$-subharmonic in $\mathbb{R}^m$, $m\geq2$, function $u=u_1-u_2$ of finite positive order we found the asymptotical representation of the form \[ u(x)=-I(x,u_1)+I(x,u_2) +O\left(V(|x|)\right),\ x\to\infty, \] where $I(x,u_i)=\int\limits_{|a-x ...
M.V. Zabolotskyi
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