Results 91 to 100 of about 1,351 (121)

Commutators of multilinear fractional maximal operators with Lipschitz functions on Morrey spaces

Open Mathematics
In this work, we present necessary and sufficient conditions for the boundedness of the commutators generated by multilinear fractional maximal operators on the products of Morrey spaces when the symbol belongs to Lipschitz spaces.
Zhang Pu, Ağcayazı Müjdat
doaj   +1 more source

On the L p-boundedness of Calderón-Zygmund operators

Advanced Nonlinear Studies
The main result in this paper is that, for singular integral operators associated with standard kernels, local L 1-estimates imply global L p-estimates for every p ∈ (1, ∞).
Mitrea Dorina, Mitrea Marius
doaj   +1 more source

On multilinear commutators of Marcinkiewicz integrals in variable exponent Lebesgue and Herz type spaces

Mathematical Inequalities & Applications, 2019
Based on some pointwise estimates, we establish the boundedness of multilinear commutators of Marcinkiewicz integrals in variable exponent Lebesgue spaces, which in turn are used to obtain some boundedness results for such operators in variable exponent ...
L. W. Wang, Lish ng Shu
semanticscholar   +1 more source

Boundedness of fractional sublinear operators on weighted grand Herz-Morrey spaces with variable exponents

Open Mathematics
This article aims to delve deeper into the weighted grand variable Herz-Morrey spaces, and try to establish the boundedness of fractional sublinear operators and their multilinear commutators within this framework.
Yang Zhenzhen, Zhang Wanjing, Zhang Jing
doaj   +1 more source

Singular integrals with variable kernel and fractional differentiation in homogeneous Morrey-Herz-type Hardy spaces with variable exponents

Open Mathematics, 2018
Let T be the singular integral operator with variable kernel defined by Tf(x)=p.v.∫RnΩ(x,x−y)|x−y|nf(y)dy$$\begin{array}{} \displaystyle Tf(x)= p.v. \int\limits_{\mathbb{R}^{n}}\frac{{\it\Omega}(x,x-y)}{|x-y|^{n}}f(y)\text{d}y \end{array} $$
Yang Yanqi, Tao Shuangping
doaj   +1 more source

Boundedness of the maximal operator in the local Morrey-Lorentz spaces

, 2013
In this paper we define a new class of functions called local Morrey-Lorentz spaces Mp,q;λloc(Rn ...
C. Aykol, V. Guliyev, A. Serbetci
semanticscholar   +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

Fractional multilinear integrals with rough kernels on generalized weighted Morrey spaces

Open Mathematics, 2016
In this paper, we study the boundedness of fractional multilinear integral operators with rough kernels TΩ,αA1,A2,…,Ak,$T_{\Omega ,\alpha }^{{A_1},{A_2}, \ldots ,{A_k}},$ which is a generalization of the higher-order commutator of the rough fractional ...
Akbulut Ali, Hasanov Amil
doaj   +1 more source

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

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