Results 1 to 10 of about 644 (181)

Riesz Potential on the Heisenberg Group [PDF]

Journal of Inequalities and Applications, 2011
The relation between Riesz potential and heat kernel on the Heisenberg group is studied. Moreover, the Hardy-Littlewood-Sobolev inequality is established.
Xiao Jinsen, He Jianxun
doaj   +4 more sources

Riesz potential and its commutators on Orlicz spaces [PDF]

Journal of Inequalities and Applications, 2017
In the present paper, we shall give necessary and sufficient conditions for the strong and weak boundedness of the Riesz potential operator I α $I_{\alpha}$ on Orlicz spaces. Cianchi (J. Lond. Math. Soc.
Vagif S Guliyev, Fatih Deringoz, Sabir G Hasanov   +2 more
doaj   +2 more sources

A new perspective on the Riesz potential

Advances in Nonlinear Analysis, 2017
This paper offers a new perspective to look at the Riesz potential. On the one hand, it is shown that not only 𝔏q,q⁢p-1⁢(n-α⁢p)∩𝔏p,κ-α⁢p\mathfrak{L}^{q,qp^{-1}(n-\alpha p)}\cap\mathfrak{L}^{p,\kappa-\alpha p} contains Iα⁢Lp,κ{I_{\alpha}L^{p,\kappa ...
Xiao Jie
doaj   +3 more sources

Compactness of Commutators for Riesz Potential on Local Morrey-type spaces [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2023
The paper considers Morrey-type local spaces from LM^w_pθ. The main work is the proof of the commutator compactness theorem for the Riesz potential [b, I_α] in local Morrey-type spaces from LM^w1_pθ to LM^w2_qθ.
D.T. Matin, T.B. Akhazhanov, A. Adilkhanov   +2 more
doaj   +3 more sources

Nonlinear Inequalities with Double Riesz Potentials [PDF]

Potential Analysis, 2021
AbstractWe investigate the nonnegative solutions to the nonlinear integral inequality u ≥ Iα ∗((Iβ ∗ up)uq) a.e. in ${\mathbb R}^{N}$ ℝ N , where α, β ∈ (0, N), p, q > 0
Marius Ghergu, Zeng Liu, Yasuhito Miyamoto, Vitaly Moroz   +3 more
openaire   +4 more sources

ON THE BOUNDEDNESS OF THE RIESZ POTENTIAL AND ITS COMMUTATOR’S IN THE GLOBAL MORREY TYPE SPACES WITH VARIABLE EXPONENTS

Вестник КазНУ. Серия математика, механика, информатика, 2022
The paper considers the global Morrey-type spaces GMp(.),θ(.),w(.)(Ω) with variable exponents p(.), θ(.), where Ω ⊂ Rn is an unbounded domain. The questions of boundedness of the Riesz potential and its commutator in these spaces are investigated.
Zh. M. Onerbek
doaj   +1 more source

General Fractional Calculus in Multi-Dimensional Space: Riesz Form

Mathematics, 2023
An extension of the general fractional calculus (GFC) is proposed as a generalization of the Riesz fractional calculus, which was suggested by Marsel Riesz in 1949.
Vasily E. Tarasov
doaj   +1 more source

p-Adic Riesz Potential and Its Commutators on Morrey-Herz Spaces

Journal of Function Spaces, 2022
In this paper, we establish the boundedness of p-adic Riesz potential on Morrey-Herz spaces, as well as the λ-central BMO estimates for multilinear commutators of p-adic Riesz potential on Morrey-Herz spaces.
Yanlong Shi, Yafeng Shi, Shenbao Chen
doaj   +1 more source

Weighted Estimates for Iterated Commutators of Riesz Potential on Homogeneous Groups

Mathematics, 2021
In this paper, we study the two weight commutators theorem of Riesz potential on an arbitrary homogeneous group H of dimension N. Moreover, in accordance with the results in the Euclidean space, we acquire the quantitative weighted bound on homogeneous ...
Daimei Chen, Yanping Chen, Teng Wang
doaj   +1 more source

Riesz potentials and amalgams [PDF]

Annales de l'Institut Fourier, 1999
Let ( M , d ) be a metric space, equipped with a Borel measure
Cowling, M, MEDA, STEFANO, Pasquale, R.
openaire   +2 more sources