Results 101 to 110 of about 2,482 (145)

OSCILLATORY INTEGRAL OPERATORS AND THEIR COMMUTATORS IN MODIFIED WEIGHTED MORREY SPACES WITH VARIABLE EXPONENT

open access: yesInternational Journal of Apllied Mathematics, 2019
In this paper first we prove Calderón-Zygmund-type integral inequalities for oscillatory integral operators and their commutators in the modified weighted Morrey spaces with variable exponent L̃ p(·),λ ω (Ω), where Ω ⊂ R are unbounded sets. After that we
J. Hasanov, A. Musayev
semanticscholar   +1 more source

Transfer operators, atomic decomposition and the Bestiary [PDF]

open access: yesarXiv, 2019
Arbieto and S. recently used atomic decomposition to study transfer operators. We give a long list of old and new expanding dynamical systems for which those results can be applied, obtaining the quasi-compactness of transfer operator acting on Besov spaces of measure spaces with a good grid.
arxiv  

The molecular decomposition of Herz-Morrey-Hardy spaces with variable exponents and its application

open access: yes, 2016
The molecular decomposition of Herz-Morrey-Hardy spaces with variable exponents is given. As its application, the boundedness of a convolution type singular integral on HerzMorrey-Hardy spaces with variable exponents is obtained.
Jingshi Xu, Xiaodi Yang
semanticscholar   +1 more source

Fractional multilinear integrals with rough kernels on generalized weighted Morrey spaces

open access: yesOpen 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

Harmonic measure and "locally flat" domains [PDF]

open access: yesProceedings of the ICM, Beijing 2002, vol. 2, 701--710, 2003
We will review work with Tatiana Toro yielding a characterization of those domains for which the harmonic measure has a density whose logarithm has vanishing mean oscillation.
arxiv  

Boundedness of positive operators on weighted amalgams

open access: yesJournal of Inequalities and Applications, 2011
In this article, we characterize the pairs (u, v) of positive measurable functions such that T maps the weighted amalgam in (Lp (u), ℓ q ) for all , where T belongs to a class of positive operators which includes Hardy operators, maximal ...
Aguilar Cañestro María Isabel   +1 more
doaj  

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

open access: yesOpen 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

Modular Lattice for $C_{o}$-Operators [PDF]

open access: yesarXiv, 2006
We study modularity of the lattice Lat $(T)$ of closed invariant subspaces for a $C_0$-operator $T$ and find a condition such that Lat $(T)$ is a modular. Furthermore, we provide a quasiaffinity preserving modularity.
arxiv  

Commutators of intrinsic square functions on generalized Morrey spaces

open access: yes, 2014
In this paper, we obtain the boundedness of intrinsic square functions and their commutators generated with BMO functions on generalized Morrey spaces. Our theorems extend some well-known results.MSC:42B20, 42B35.
Xiao-mei Wu, Taotao Zheng
semanticscholar   +1 more source

A Shift Operator on L(H^2) [PDF]

open access: yesarXiv, 2006
We give definitions and some properties of the shift operator S_{L(H^2)} and multiplication operator on L(H^2). In addition, we obtain some properties of the commutant of the shift operator S_{L(H^2)} and characterize S_{L(H^2)}-invariant subspaces.
arxiv  

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