Results 21 to 30 of about 1,341 (119)

On some multilinear commutators in variable Lebesgue spaces

open access: yes, 2017
In this paper, the authors obtain some characterizations of BMO in terms of commutators of multilinear fractional integrals and Caldrón-Zygmund singular integrals on variable Lebesgue spaces.
J. Tan, Zongguang Liu, Ji an Zhao
semanticscholar   +1 more source

Boundedness of Rough Singular Integral Operators on Homogeneous Herz Spaces with Variable Exponents

open access: yesJournal of Mathematical Study, 2020
We establish the boundedness of rough singular integral operators on homogeneous Herz spaces with variable exponents. As an application, we obtain the boundedness of related commutators with BMO functions on homogeneous Herz spaces with variable ...
Jin-Yi Cai
semanticscholar   +1 more source

Necessary and sufficient conditions for boundedness of commutators of the general fractional integral operators on weighted Morrey spaces [PDF]

open access: yes, 2012
We prove that $b$ is in $Lip_{\bz}(\bz)$ if and only if the commutator $[b,L^{-\alpha/2}]$ of the multiplication operator by $b$ and the general fractional integral operator $L^{-\alpha/2}$ is bounded from the weighed Morrey space $L^{p,k}(\omega)$ to $L^
Si, Zengyan, Zhao, Fayou
core   +3 more sources

A Beurling‐Helson type theorem for modulation spaces

open access: yesJournal of Function Spaces, Volume 7, Issue 1, Page 33-41, 2009., 2009
We prove a Beurling‐Helson type theorem on modulation spaces. More precisely, we show that the only 𝒞1 changes of variables that leave invariant the modulation spaces ℳp,q(ℝd) are affine functions on ℝd. A special case of our result involving the Sjöstrand algebra was considered earlier by A. Boulkhemair.
Kasso A. Okoudjou, Hans Feightinger
wiley   +1 more source

θ-type Calderón-Zygmund Operators and Commutators in Variable Exponents Herz space

open access: yesOpen Mathematics, 2018
The aim of this paper is to deal with the boundedness of the θ-type Calderón-Zygmund operators and their commutators on Herz spaces with two variable exponents p(⋅), q(⋅).
Yang Yanqi, Tao Shuangping
doaj   +1 more source

Maximal and singular integral operators and their commutators on generalized weighted Morrey spaces with variable exponent

open access: yes, 2018
We consider the generalized weighted Morrey spaces M p(·),φ ω (Ω) with variable exponent p(x) and a general function φ(x,r) defining the Morrey-type norm.
V. Guliyev   +2 more
semanticscholar   +1 more source

Commutators of fractional integrals on martingale Morrey spaces

open access: yesMathematical Inequalities & Applications, 2019
On martingale Morrey spaces we give necessary and sufficient conditions for the boundedness and compactness of the commutator generated by the fractional integral and a function in the martingale Campanato space.
E. Nakai, Gaku Sadasue
semanticscholar   +1 more source

On the degree of compactness of embeddings between weighted modulation spaces

open access: yesJournal of Function Spaces, Volume 6, Issue 3, Page 303-317, 2008., 2008
The paper investigates the asymptotic behaviour of entropy and approximation numbers of compact embeddings between weighted modulation spaces.
Aicke Hinrichs   +3 more
wiley   +1 more source

Traces of Besov, Triebel-Lizorkin and Sobolev Spaces on Metric Spaces

open access: yesAnalysis and Geometry in Metric Spaces, 2017
We establish trace theorems for function spaces defined on general Ahlfors regular metric spaces Z. The results cover the Triebel-Lizorkin spaces and the Besov spaces for smoothness indices s < 1, as well as the first order Hajłasz-Sobolev space M1,p(Z).
Saksman Eero, Soto Tomás
doaj   +1 more source

Characterizations for the genuine Calderón-Zygmund operators and commutators on generalized Orlicz-Morrey spaces

open access: yesAdvances in Nonlinear Analysis, 2023
In this article, we show continuity of commutators of Calderón-Zygmund operators [b,T]\left[b,T] with BMO functions in generalized Orlicz-Morrey spaces MΦ,φ(Rn){M}^{\Phi ,\varphi }\left({{\mathbb{R}}}^{n}). We give necessary and sufficient conditions for
Guliyev V. S.   +2 more
doaj   +1 more source

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