Results 21 to 30 of about 1,361 (124)
Boundedness Characterization of Maximal Commutators on Orlicz Spaces in the Dunkl Setting
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
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
On some multilinear commutators in variable Lebesgue spaces
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
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Boundedness of Rough Singular Integral Operators on Homogeneous Herz Spaces with Variable Exponents
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
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A Beurling‐Helson type theorem for modulation spaces
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
Notes on the Herz-type Hardy spaces of variable smoothness and integrability
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
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 of vector-valued intrinsic square functions in Morrey type spaces [PDF]
In this paper, we will obtain the strong type and weak type estimates for vector-valued analogues of intrinsic square functions in the weighted Morrey spaces $L^{p,\kappa}(w)$ when $1\leq ...
Wang, Hua
core +3 more sources
On the degree of compactness of embeddings between weighted modulation spaces
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
The main purpose of this article is to establish some new characterizations of the (variable) Lipschitz spaces in terms of the boundedness of commutator of multilinear fractional Calderón-Zygmund integral operators in the context of the variable exponent
Zhang Pu, Wu Jianglong
doaj +1 more source