Results 91 to 100 of about 2,364 (134)

Generalized commutators of multilinear Calderón–Zygmund type operators

open access: yesJournal of the Mathematical Society of Japan, 2016
Let $T$ be an $m$-linear Calderon–Zygmund operator with kernel $K$ and $T^*$ be the maximal operator of $T$. Let $S$ be a finite subset of $Z^+\times \{1,\dots,m\}$ and denote $d\vec{y}=dy_1\cdots dy_m$. Define the commutator $T_{\vec{b},S}$ of $T$, and $T^*_{\vec{b},S}$ of $T^*$ by $T_{\vec{b},S}(\vec{f})(x)= \int_{\mathbb{R}^{nm}}\prod_{(i,j)\in S ...
XUE, Qingying, YAN, Jingquan
openaire   +2 more sources

CONTINUITY OF THE MULTILINEAR MAXIMAL COMMUTATORS IN SOBOLEV SPACES

open access: yesJournal of Applied Analysis & Computation
Summary: In the present paper we study the Sobolev continuity of the multilinear maximal commutators and their fractional variants with Lipschitz symbols. More precisely, let \(\mathfrak{M}_{\alpha,\vec{b}}\) be the multilinear fractional maximal commutators, where \(0\leq ...
Jiang, Xixi, Liu, Feng
openaire   +2 more sources

Grand weighted variable Herz-Morrey spaces estimate for some operators

open access: yesCommunications in Analysis and Mechanics
In this paper, we established the boundedness of higher-order commutators $ I_{\beta, b}^{m} $ generated by the fractional integral operator with BMO functions on grand weighted variable-exponent Herz-Morrey spaces $ \mathrm{M\dot{K}}_{\lambda, p(\cdot)}^
Ming Liu, Binhua Feng
doaj   +1 more source

Commutators of Multilinear Calderón-Zygmund Operator and BMO Functions in Herz-Morrey Spaces with Variable Exponents

open access: yesJournal of Function Spaces, 2014
We obtain the boundedness of a commutator generated by multilinear Calderón-Zygmund operator and BMO functions in Herz-Morrey spaces with variable exponents.
Canqin Tang, Qing Wu, Jingshi Xu
doaj   +1 more source

On General multilinear square function with non-smooth kernels

open access: yes, 2015
In this paper, we obtain some boundedness of the following general multilinear square functions $T$ with non-smooth kernels, which extend some known results significantly. $$ T(\vec{f})(x)=\big( \int_{0}^\infty \big|\int_{(\mathbb{R}^n)^m}K_v(x,y_1,\dots,
Hormozi, Mahdi   +2 more
core  

Analytical Investigations into Multilinear Fractional Rough Hardy Operators Within Morrey–Herz Spaces Characterized by Variable Exponents

open access: yesFractal and Fractional
In this scholarly discourse, a rigorous examination is conducted on the boundedness properties of multilinear fractional rough Hardy operators within the structural framework of variable exponent Morrey–Herz spaces.
Muhammad Asim, Ghada AlNemer
doaj   +1 more source

The multilinear commutators of Hardy operator on variable central Morrey spaces(变指数中心Morrey空间的多线性Hardy算子交换子)

open access: yesZhejiang Daxue xuebao. Lixue ban
With the help of the boundedness of the n-dimensional fractional Hardy operator and its adjoint operator on Lebesgue space with variable exponent, by applying hierarchical decomposition of function and real variable techniques, we obtain the boundedness ...
辛银萍(XIN Yinping)
doaj   +1 more source

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