Results 1 to 10 of about 1,893 (145)

Generalized weighted Sobolev-Morrey estimates for hypoelliptic operators with drift on homogeneous groups

Journal of Mathematical Inequalities, 2022
Let G = ( RN ,◦,δλ ) be a homogeneous group, Q be the homogeneous dimension of G , X0,X1, . . . ,Xm be left invariant real vector fields on G and satisfy Hörmander’s rank condition on RN . Assume that X1, . . . ,Xm (m N − 1) are homogeneous of degree one
V. Guliyev
semanticscholar   +1 more source

Boundedness of second-order Riesz transforms on weighted Hardy and BMO spaces associated with Schrödinger operators

Comptes rendus. Mathematique, 2021
Let d ∈ {3,4,5, . . .} and a weight w ∈ A∞. We consider the second-order Riesz transform T =∇2 L−1 associated with the Schrödinger operator L = −∆+V , where V ∈ RHσ with σ > 2 . We present three main results.
Trong Nguyen Ngoc, Truong Le Xuan, Do Tan Duc   +2 more
semanticscholar   +1 more source

Two type Estimates for the Boundedness of Generalized Riesz Potential Operator in the Generalized Weighted Local Morrey Spaces [PDF]

, 2021
In this paper, we prove the Spanne-type boundedness of the generalized Riesz potential operator Iρ from the one generalized weighted local Morrey spaces M {x0} p,φ1 (w p,Rn) to the another one M {x0} q,φ2 (w q,Rn) with wq ∈ A1+ q p′ for 1 < p < q < ∞ and
A. Kucukaslan
semanticscholar   +1 more source

Mean oscillation and boundedness of multilinear operator related to multiplier operator

Open Mathematics, 2021
In this paper, the boundedness of certain multilinear operator related to the multiplier operator from Lebesgue spaces to Orlicz spaces is obtained.
Zhao Qiaozhen, Huang Dejian
doaj   +1 more source

Commutators of multilinear strongly singular integrals on nonhomogeneous metric measure spaces

Open Mathematics, 2021
Let (X,d,μ)\left(X,d,\mu ) denote nonhomogeneous metric measure space satisfying geometrically doubling and the upper doubling measure conditions.
Wang Hailian, Xie Rulong
doaj   +1 more source

Non-local gradients in bounded domains motivated by continuum mechanics: Fundamental theorem of calculus and embeddings

Advances in Nonlinear Analysis, 2023
In this article, we develop a new set of results based on a non-local gradient jointly inspired by the Riesz ss-fractional gradient and peridynamics, in the sense that its integration domain depends on a ball of radius δ>0\delta \gt 0 (horizon of ...
Bellido José Carlos, Cueto Javier, Mora-Corral Carlos   +2 more
doaj   +1 more source

A note on weighted estimates for bilinear fractional integral operators

Mathematical Inequalities & Applications, 2021
. De Napoli, Drelichman and Dur´an (2011) proved weighted estimates for the fractional integral operators. Komori-Furuya and Sato (2020) proved weighted estimates for bilinear fractional integral operators.
Y. Komori‐Furuya
semanticscholar   +1 more source

Fractional Type Marcinkiewicz Integral Operator Associated with Θ-Type Generalized Fractional Kernel and Its Commutator on Non-homogeneous Spaces

Analysis and Geometry in Metric Spaces, 2022
Let (𝒳, d, μ) be a non-homogeneous metric measure space satisfying the upper doubling and geometrically doubling conditions in the sense of Hytönen. Under assumption that θ and dominating function λ satisfy certain conditions, the authors prove that ...
Lu Guanghui, Tao Shuangping, Wang Miaomiao   +2 more
doaj   +1 more source

Estimates for certain class of rough generalized Marcinkiewicz functions along submanifolds

Open Mathematics, 2023
We establish certain delicate Lp{L}^{p} bounds for a class of generalized Marcinkiewicz integral operators along submanifolds with rough kernels.
Ali Mohammed, Al-Qassem Hussain
doaj   +1 more source

Local sharp maximal functions, geometrical maximal functions and rough maximal functions on local Morrey spaces with variable exponents

Mathematical Inequalities & Applications, 2020
We study the local Morrey spaces with variable exponents. We show that the local block space with variable exponents are pre-duals of the local Morrey spaces with variable exponents. Using this duality, we establish the extrapolation theory for the local
T. Yee, K. Cheung, K. Ho, Chun Kit Suen
semanticscholar   +1 more source