Results 11 to 20 of about 8,913,878 (219)

Boundedness of Riesz Potential Operator on Grand Herz-Morrey Spaces

Axioms, 2022
In this paper, we introduce grand Herz–Morrey spaces with variable exponent and prove the boundedness of Riesz potential operators in these spaces.
Babar Sultan, Fatima Azmi, Mehvish Sultan, Mazhar Mehmood, Nabil Mlaiki   +4 more
doaj   +2 more sources

Boundedness of Toeplitz type operators associated to Riesz potential operator with general kernel on Orlicz space

Open Mathematics, 2015
In this paper, the boundedness properties for some Toeplitz type operators associated to the Riesz potential and general integral operators from Lebesgue spaces to Orlicz spaces are proved.
Chen Dazhao
doaj   +2 more sources

Sharp stability for the Riesz potential [PDF]

ESAIM: Control, Optimisation and Calculus of Variations, 2020
In this paper we show the stability of the ball as maximizer of the Riesz potential among sets of given volume. The stability is proved with sharp exponent 1∕2, and is valid for any dimension N ≥ 2 and any power 1 < α < N.
N. Fusco, A. Pratelli
core   +6 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

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 Relations between Bessel Potential Spaces and Riesz Potential Spaces [PDF]

, 2000
We present a relation between the Bessel potential spaces and the Riesz potential spaces. The ideas of the proof are to characterize each potential spaces and to give a correspondence between individual Bessel potentials and Riesz ...
Kurokawa Takahide
core   +2 more sources

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

Inversion of Riesz Potentials for Dunkl Transform [PDF]

Journal of Function Spaces, 2018
The inversion of Riesz potentials for Dunkl transform when G=Z2d is given by using the generalized wavelet transforms. It is also proved that the Riesz potentials Iακ are automorphisms on the Semyanistyi-Lizorkin spaces.
Moyi Liu, Futao Song, Rongxin Wang
openaire   +3 more sources

Weighted inequalities for the Riesz potential on the sphere [PDF]

, 2016
We prove a version of the Stein–Weiss inequality for the Riesz potential of the conformal Laplacian on the sphere. Moreover, we show that the result can be improved for functions invariant under the action of the group SO(d - 1). This last result will be
A. Arenas, Labarga, E. [0000-0003-1017-869X], Arenas, A. [0000-0002-0854-0138], Ciaurri, Ó. [0000-0002-1695-3311], E. Labarga, Ó. Ciaurri, Ciaurri, Ó., Labarga, E., Arenas, A.   +8 more
core   +1 more source

Riesz Potentials and Nonlinear Parabolic Equations [PDF]

Archive for Rational Mechanics and Analysis, 2013
The spatial gradient of solutions to nonlinear degenerate parabolic equations can be pointwise estimated by the caloric Riesz potential of the right hand side datum, exactly as in the case of the heat equation.
T. Kuusi, MINGIONE, Giuseppe
openaire   +4 more sources