Results 11 to 20 of about 594 (163)
On the Riesz transforms for the inverse Gauss measure
Annales Fennici Mathematici, 2021 Let $γ_{-1}$ be the absolutely continuous measure on $\mathbb{R}^n$ whose density is the reciprocal of a Gaussian function. Let further $\mathscr{A}$ be the natural self-adjoint Laplacian on $L^2(γ_{-1})$. In this paper, we prove that the Riesz transforms associated with $\mathscr{A}$ of order one or two are of weak type $(1,1)$, but that those of ...
Bruno, Tommaso, Sjögren, Peter
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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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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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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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ON ENTIRE FUNCTIONS WITH GIVEN ASYMPTOTIC BEHAVIOR
Проблемы анализа, 2018 We study approximation of subharmonic functions on the complex plane by logarithms of moduli of entire functions. In the theory of series of exponentials these entire functions are the main tool.
Isaev K . P .
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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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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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Communications in Advanced Mathematical Sciences, 2021 In this study, a special lower triangular matrix derived by combining Riesz matrix and Euler totient matrix is used to construct new Banach spaces. $\alpha-$,$\beta-$,$\gamma-$duals of the resulting spaces are obtained and some matrix operators ...
Mehmet Akif Bayrakdar, Merve İlkhan
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On the Riesz energy of measures
Journal of Approximation Theory, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A trace problem for associate Morrey potentials
Advances in Nonlinear Analysis, 2018 As a solution to the restriction question for associate Morrey potentials (Question 1.1), this paper characterizes a Radon measure μ on ℝn{\mathbb{R}^{n}} such that the Riesz operator Iα{I_{\alpha}} maps the associate Morrey spaces H1p,κ⊂Hp,κ{H^{p,\kappa}
Xiao Jie
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