Results 101 to 110 of about 1,361 (124)

The John–Nirenberg inequality in ball Banach function spaces and application to characterization of BMO

Journal of Inequalities and Applications, 2019
Our goal is to obtain the John–Nirenberg inequality for ball Banach function spaces X, provided that the Hardy–Littlewood maximal operator M is bounded on the associate space X′ $X'$ by using the extrapolation.
Mitsuo Izuki, Takahiro Noi, Yoshihiro Sawano   +2 more
doaj   +1 more source

Grand Triebel-Lizorkin-Morrey spaces

Demonstratio Mathematica
This article studies the Triebel-Lizorkin-type spaces built on grand Morrey spaces on Euclidean spaces. We establish a number of characterizations on the grand Triebel-Lizorkin-Morrey spaces such as the Peetre maximal function characterizations, the ...
Ho Kwok-Pun
doaj   +1 more source

Fractional type Marcinkiewicz integrals over non-homogeneous metric measure spaces

Journal of Inequalities and Applications, 2016
The main goal of the paper is to establish the boundedness of the fractional type Marcinkiewicz integral M β , ρ , q $\mathcal{M}_{\beta,\rho,q}$ on non-homogeneous metric measure space which includes the upper doubling and the geometrically doubling ...
Guanghui Lu, Shuangping Tao
doaj   +1 more source

Matrix weights and a maximal function with exponent 3/2

Advanced Nonlinear Studies
We build an example of a simple sparse operator for which its norm with scalar A 2 weight has linear estimate in [w]A2 ${\left[w\right]}_{{A}_{2}}$ , but whose norm in matrix setting grows at least as [W]A23/2 ${\left[W\right]}_{{\mathbf{A}}_{2}}^{3/2}$
Treil Sergei, Volberg Alexander
doaj   +1 more source

Uniform boundedness and compactness for the commutator of an extension of Riesz transform on stratified Lie groups

Advances in Nonlinear Analysis
Let G{\mathcal{G}} be a stratified Lie group, and let {Xj}1≤j≤n1{\left\{{X}_{j}\right\}}_{1\le j\le {n}_{1}} be a basis of the left-invariant vector fields of degree one on G{\mathcal{G}} and Δ=−∑j=1n1Xj2\Delta =-{\sum }_{j=1}^{{n}_{1}}{X}_{j}^{2} be the
Han Xueting, Chen Yanping
doaj   +1 more source

Sharp maximal and weighted estimates for multilinear iterated commutators of multilinear integrals with generalized kernels. [PDF]

J Inequal Appl, 2017
Lin Y, Zhang N.
europepmc   +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

Commutators associated with Schrödinger operators on the nilpotent Lie group. [PDF]

J Inequal Appl, 2017
Ni T, Liu Y.
europepmc   +1 more source

On some properties of the functions from Sobolev-Morrey type spaces

Open Mathematics, 2005
Najafov Alik
doaj   +1 more source

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