Results 31 to 40 of about 1,883 (143)
The Boundedness of Commutators of Singular Integral Operators with Besov Functions
In this paper, we prove the boundedness of commutator generated by singular integral operator and Besov function from some Ld to Triebel‐Lizorkin spaces.
Xionglue Gao +2 more
wiley +1 more source
θ-type Calderón-Zygmund Operators and Commutators in Variable Exponents Herz space
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
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
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
In this paper, we present some sufficient conditions for the boundedness of convolution operators that their kernel satisfies a certain version of Hörmander′s condition, in the weighted Lebesgue spaces Lp,ω (ℝn).
Vagif S. Guliyev, Vakhtang Kokilashvili
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
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
semanticscholar +1 more source
In this paper, we study the boundedness of commutator [b, T] of Riesz transform associated with Schrödinger operator and b is BMO type function, note that the kernel of T has no smoothness, and the boundedness from Hb1(Rn)→L1(Rn) is obtained.
Canqin Tang +2 more
wiley +1 more source
Recently V. Kokilashvili, N. Samko, and S. Samko have proved a sufficient condition for the boundedness of the Cauchy singular integral operator on variable Lebesgue spaces with radial oscillating weights over Carleson curves. This condition is formulated in terms of Matuszewska‐Orlicz indices of weights. We prove a partial converse of their result.
Alexei Yu. Karlovich, Lech Maligranda
wiley +1 more source
Lp bounds for parametric Marcinkiewicz integrals with mixed homogeneity
In this paper we consider the parametric Marcinkiewicz integrals with mixed homogeneity along certain compound surfaces. Under the rather weakened size conditions on the integral kernels both on the unit sphere and in the radial direction, the Lp ...
Daqing Zhang, Huo-xiong Wu, Feng Liu
semanticscholar +1 more source

