Results 21 to 30 of about 1,351 (121)

Atomic, molecular and wavelet decomposition of generalized 2‐microlocal Besov spaces

Journal of Function Spaces, Volume 8, Issue 2, Page 129-165, 2010., 2010
We introduce generalized 2‐microlocal Besov spaces and give characterizations in decomposition spaces by atoms, molecules and wavelets. We apply the wavelet decomposition to prove that the 2‐microlocal spaces are invariant under the action of pseudodifferential operators of order 0.
Henning Kempka, Hans Triebel
wiley   +1 more source

Notes on the Herz-type Hardy spaces of variable smoothness and integrability

, 2016
The aim of this paper is twofold. First we give a new norm equivalents of the variable Herz spaces Kα(·) p(·),q(·) (R n) and K̇α(·) p(·),q(·) (R n) . Secondly we use these results to prove the atomic decomposition for Herz-type Hardy spaces of variable ...
D. Drihem, Fakhreddine Seghiri
semanticscholar   +1 more source

Commutators of fractional integrals on martingale Morrey spaces

Mathematical 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

Boundedness Characterization of Maximal Commutators on Orlicz Spaces in the Dunkl Setting

Journal of Mathematical Study, 2020
On the real line, the Dunkl operators Dν( f )(x) := d f (x) dx +(2ν+1) f (x)− f (−x) 2x , ∀x∈R, ∀ν≥− 1 2 are differential-difference operators associated with the reflection group Z2 on R, and on the Rd the Dunkl operators { Dk,j }d j=1 are the ...
Vagif S. Guliyev sci
semanticscholar   +1 more source

Function spaces on the Koch curve

Journal of Function Spaces, Volume 8, Issue 3, Page 287-299, 2010., 2010
We consider two types of Besov spaces on the Koch curve, defined by traces and with the help of the snowflaked transform. We compare these spaces and give their characterization in terms of Daubechies wavelets.
Maryia Kabanava, Hans Triebel
wiley   +1 more source

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

Open 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

Sharp Hardy Identities and Inequalities on Carnot Groups

Advanced Nonlinear Studies, 2021
In this paper we establish general weighted Hardy identities for several subelliptic settings including Hardy identities on the Heisenberg group, Carnot groups with respect to a homogeneous gauge and Carnot–Carathéodory metric, general nilpotent groups ...
Flynn Joshua, Lam Nguyen, Lu Guozhen
doaj   +1 more source

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

, 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

On some multilinear commutators in variable Lebesgue spaces

, 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

Journal 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