Results 121 to 130 of about 2,482 (145)

Mixed radial-angular integrabilities for Hausdorff type operators [PDF]

arXiv
This paper is devoted to studying some mixed radial-angular integrabilities for various types of Hausdorff operators and ...
arxiv  

Variation operators on $BMO$ in the Schrödinger setting [PDF]

arXiv, 2010
In this paper we prove that the variation operators associated with the heat semigroup and Riesz transforms related to the Schr\"odinger operator are bounded on the suitable $BMO$ type space.
arxiv  

Estimates on modulation spaces for Schrödinger evolution operators with quadratic and sub-quadratic potentials [PDF]

arXiv, 2012
In this paper we give new estimates for the solution to the Schr\"odinger equation with quadratic and sub-quadratic potentials in the framework of modulation spaces.
arxiv  

A trace problem for associate Morrey potentials

Advances in Nonlinear Analysis, 2018
As a solution to the restriction question for associate Morrey potentials (Question 1.1), this paper characterizes a Radon measure μ on ℝn{\mathbb{R}^{n}} such that the Riesz operator Iα{I_{\alpha}} maps the associate Morrey spaces H1p,κ⊂Hp,κ{H^{p,\kappa}
Xiao Jie
doaj   +1 more source

A characterization of two weight trace inequalities for positive dyadic operators in the upper triangle case [PDF]

arXiv, 2013
Two weight trace inequalities for positive dyadic operators are characterized in terms of discrete Wolff's potentials in the upper triangle case.
arxiv  

Sharp Singular Trudinger–Moser Inequalities Under Different Norms

Advanced Nonlinear Studies, 2019
The main purpose of this paper is to prove several sharp singular Trudinger–Moser-type inequalities on domains in ℝN{\mathbb{R}^{N}} with infinite volume on the Sobolev-type spaces DN,q⁢(ℝN){D^{N,q}(\mathbb{R}^{N})}, q≥1{q\geq 1}, the completion of C0 ...
Lam Nguyen, Lu Guozhen, Zhang Lu
doaj   +1 more source

Multilinear singular and fractional integral operators on weighted Morrey spaces [PDF]

arXiv, 2013
In this paper, we will study the boundedness properties of multilinear Calderon--Zygmund operators and multilinear fractional integrals on products of weighted Morrey spaces with multiple weights.
arxiv  

Some remarks on Riesz transforms on exterior Lipschitz domains

Forum of Mathematics, Sigma
Let $n\ge 2$ and $\mathcal {L}=-\mathrm {div}(A\nabla \cdot )$ be an elliptic operator on $\mathbb {R}^n$ . Given an exterior Lipschitz domain $\Omega $ , let $\mathcal {L}_D$ be the elliptic operator $\mathcal {L}$
Renjin Jiang, Sibei Yang
doaj   +1 more source

A new version of Carleson measure associated with Hermite operator. [PDF]

J Inequal Appl, 2018
Huang J, Wang Y, Li W.
europepmc   +1 more source

Geometric characterization of generalized Hajłasz-Sobolev embedding domains

Advances in Nonlinear Analysis
In this article, the authors study the embedding properties of Hajłasz-Sobolev spaces with generalized smoothness on Euclidean domains, whose regularity is described via a smoothness weight function ϕ:[0,∞)→[0,∞)\phi :\left[0,\infty )\to \left[0,\infty ).
Li Ziwei, Yang Dachun, Yuan Wen
doaj   +1 more source