Results 51 to 60 of about 8,913,878 (219)
Necessary and sufficient conditions for the boundedness of B-Riesz potential in the B-Morrey spaces
, 2008 We consider the generalized shift operator, associated with the Laplace–Bessel differential operator ΔB=∑i=1n∂2∂xi2+∑i=1kγixi∂∂xi. The maximal operator Mγ (B-maximal operator) and the Riesz potential Iγα (B-Riesz potential), associated with the ...
Guliyev, Vagif S., Hasanov, Javanshir J.
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On the (p,q)-Boundedness of Nonisotropic Spherical Riesz Potentials
Journal of Inequalities and Applications, 2007 We introduced the concept of nonisotropic spherical Riesz potential operators generated by the λ-distance of variable order on λ-sphere and its (p,q)-boundedness were investigated.
Mehmet Zeki Sarikaya +1 more
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Journal of Function Spaces, 2020 Let L=−Δℍn+V be a Schrödinger operator on the Heisenberg group ℍn, where Δℍn is the sub-Laplacian on ℍn and the nonnegative potential V belongs to the reverse Hölder class Bq with q∈Q/2,∞. Here, Q=2n+2 is the homogeneous dimension of ℍn.
Hua Wang
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Geometry of essential matrix ranges and the Smith–Ward problem for operator systems
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract A d$d$‐tuple of bounded linear selfadjoint operators acting on an infinite‐dimensional separable Hilbert space is said to have the Smith–Ward property if the identity map of the image of the operator system in the Calkin algebra has a completely positive lift.
Douglas Farenick +2 more
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Riesz potential versus fractional Laplacian [PDF]
, 2014 This paper starts by introducing the Grünwald–Letnikov derivative, the Riesz potential and the problem of generalizing the Laplacian. Based on these ideas, the generalizations of the Laplacian for 1D and 2D cases are studied.
Laleg-Kirati, Taous-Meriem +4 more
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Advances in Nonlinear AnalysisIn this study, we explore the positive solutions of a nonlinear Choquard equation involving the Green kernel of the fractional operator (−ΔBN)−α⁄2{\left(-{\Delta }_{{{\mathbb{B}}}^{N}})}^{-\alpha /2} in the hyperbolic space, where ΔBN{\Delta }_{{{\mathbb{
Gupta Diksha, Sreenadh Konijeti
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Riesz potential on the Heisenberg group and modified Morrey spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 In this paper we study the fractional maximal operator Mα, 0 ≤ α < Q and the Riesz potential operator ℑα, 0 < α < Q on the Heisenberg group in the modified Morrey spaces L͂p,λ(ℍn), where Q = 2n + 2 is the homogeneous dimension on ℍn.
Guliyev Vagif S., Mammadov Yagub Y.
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Современная математика: Фундаментальные направления, 2020 We consider one-dimensional Dirac operatorLP,U with Birkhoff regular boundary conditions and summable potential P(x) on[0, π]. We introduce strongly and weakly regular operators. In both cases, asymptotic formulas for eigenvalues are found.
A. M. Savchuk, I. V Sadovnichaya
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Taylor expansion of Riesz potentials
Hiroshima Mathematical Journal, 1995 The Riesz potentials of the form \[ U_\alpha f(x)= \int_{\mathbb{R}^n} |x-y |^{\alpha-n} f(y) dy \] are considered where \(f(y)\) is supposed to fulfil the Orlicz condition with weight \(\omega\) in the form \(\int_{\mathbb{R}^n} \varphi_p(f(y)) \omega (|y|) dy< \infty\), where \(\varphi_p(r)\) and \(\omega(r)\) are positive, monotone functions on \((0,
Shimomura, Tetsu, Mizuta, Yoshihiro
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On Elliott's conjecture and applications
Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.Abstract Let f:N→D$f:\mathbb {N}\rightarrow \mathbb {D}$ be a multiplicative function. Under the merely necessary assumption that f$f$ is nonpretentious (in the sense of Granville and Soundararajan), we show that for any pair of distinct integer shifts h1,h2$h_1,h_2$, the two‐point correlation 1x∑n⩽xf(n+h1)f¯(n+h2)$$\begin{equation*} \frac{1}{x}\sum _ ...
Oleksiy Klurman +2 more
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