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RIESZ POTENTIALS ON LORENTZ SPACES

Mathematics of the USSR-Sbornik, 1987
See the review in Zbl 0624.46012.
Kipriyanov, I. A., Ivanov, L. A.
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A note on Riesz potential

Mathematical Proceedings of the Cambridge Philosophical Society, 1951
The object of the present paper is to discuss the Fourier expansion of the Riesz potential. For this purpose a new definition of the electromagnetic potentials, depending upon an arbitrary parameter α is given. It is shown that this definition is a generalization of the Wentzel potentials in the α-plane, whereas that given by Fremberg (3) is a ...
Auluck, F. C., Kothari, L. S.
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ON SPACES OF RIESZ POTENTIALS

Mathematics of the USSR-Izvestiya, 1976
In connection with problems which arise in the theory of integral equations of the first kind with a potential-type kernel we investigate the space of Riesz potentials , where is the Riesz integration operator . We give a description of the space in terms of differences of singular integrals, establish a theorem on denseness of in , and indicate a ...
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On generalized Riesz type potential with Lorentz distance

Lobachevskii Journal of Mathematics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akın, O.   +2 more
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Riesz Potentials and Liouville Operators on Fractals

Potential Analysis, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Inequalities for the eigenvalues of the Riesz potential

Mathematical Notes, 2017
It is proved that, of all the domains with identical measure, it is the ball that maximizes the first eigenvalue of the Riesz potential. It is shown that the sum of the squares of all the eigenvalues is also maximized in the ball among all the domains with identical measure.
T. Sh. Kal’menov, D. Suragan
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Estimates for Bessel and Riesz Potentials

1996
Here we interrupt the development of the general theory in order to gain a deeper understanding of some of the aspects of the spaces L α,p . In Section 3.1 we give some simple pointwise estimates of potentials in terms of maximal functions. These are going to be used in several of the following chapters.
David R. Adams, Lars Inge Hedberg
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Approximate integration of modified Riesz potentials

2013
Выводятся оценки погрешностей квадратурных формул при интегрировании потенциалов типа потенциала Феллера, представляющих собой модификацию потенциалов ...
Medvedeva, Maria I, Osipov, Nikolay N.
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Extension and factorization of Riesz n-morphisms on pre-Riesz spaces

Journal of Mathematical Analysis and Applications, 2022
Zalina Kusraeva
exaly  

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