Results 111 to 120 of about 8,913,878 (219)
ADAMS THEOREM FOR THE 𝑩-RIESZ POTENTIAL IN TOTAL 𝑩-MORREY SPACES
In this work, we investigate the 𝐵 -Riesz potential associated with the Laplace Bessel differential operator in total 𝐵-Morrey spaces. We establish Adams-type boundedness results for the operator 𝐼𝛾𝛼(𝐵- Riesz potential) from total 𝐵- Morrey spaces to ...
Suleyman Celik, Ali Akbulut, Esra Takan
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Nonlinear Integral Equations with Kernels of Potential Type on a Segment
Современная математика: Фундаментальные направления, 2016 We study various classes of nonlinear equations containing an operator of potential type (Riesz potential). By the monotone operators method in the Lebesgue spaces of real-valued functions Lp(a, b) we prove global theorems on existence, uniqueness ...
S. N. Askhabov
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Generalized Riesz potential spaces and their characterization viawavelet-type transform
, 2016 We introduce a wavelet-type transform generated by the so-called beta-semigroup, which is a natural generalization of the Gauss-Weierstrass and Poisson semigroups associated to the Laplace-Bessel convolution.
Ilham Aliev +3 more
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Boundedness Results for the Fractional Wolff Potential in Morrey Spaces over Homogeneous Groups
Fractal and FractionalLet G be a homogeneous Lie group of dimension ϰ. In this article, we investigate the mapping properties of the Wolff-type potential Wϑ,2 on G, associated with a homogeneous quasi-norm, and show that it coincides, up to an explicit dimensional constant ...
Waqar Afzal +3 more
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Properties of Laplacians and Riesz potentials on manifolds with ends.
Michigan Mathematical Journal, 1994 As is well known, the Laplacian on a compact Riemannian manifold \((M,g)\) is a Fredholm operator from \(H^ p_{s + 2}(M)\) to \(H^ p_ s (M)\), where \(H^ p_ t (M)\) is the \(t\)-th order \(L^ p\) Sobolev space on \(M\) and its Fredholm inverse is a compact operator on \(H^ p_ s (M)\). For noncompact manifolds, the situation is more complicated.
openaire +2 more sources
Electronic Journal of Differential Equations, 2017 In this article, we study some basic properties of the scale of Kato classes related with the Bessel kernel, Lorentz spaces, and Morrey spaces. Also we characterize the weak Harnack inequality for non-negative solutions of elliptic equations in terms
Rene Erlin Castillo +2 more
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Characterization of Riesz Spaces with Topologically Full Center
, 2013 Let E be a Riesz space and let E-similar to denote its order dual. The orthomorphisms Orth(E) on E, and the ideal center Z(E) of E, are naturally embedded in Orth(E-similar to) and Z(E-similar to) respectively.
Alpay, Safak, Orhon, Mehmet
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, 2004 Diening L. Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spaces $L^{p(\cdot)}$ and $W^{k,p(\cdot)}$. Mathematische Nachrichten.
Diening, Lars ; https://orcid.org/ +1 more
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Open MathematicsThis article aims to delve deeper into the weighted grand variable Herz-Morrey spaces, and try to establish the boundedness of fractional sublinear operators and their multilinear commutators within this framework.
Yang Zhenzhen, Zhang Wanjing, Zhang Jing
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GENERALIZED BESSEL AND RIESZ POTENTIALS ON METRIC MEASURE SPACES
, 2008 . We introduce generalized Bessel and Riesz potentials on metric measure spaces and the corresponding potential spaces. Estimates of the Bessel and Riesz kernels are given which reflect the intrinsic structure of the spaces.
J. Hu, M. Z Ähle
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