Results 31 to 40 of about 1,883 (143)

The Boundedness of Commutators of Singular Integral Operators with Besov Functions

open access: yesJournal of Function Spaces, Volume 8, Issue 3, Page 245-256, 2010., 2010
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

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

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

open access: yesJournal 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

Two‐weight inequalities for singular integral operators satisfying a variant of Hörmander′s condition

open access: yesJournal of Function Spaces, Volume 7, Issue 1, Page 43-59, 2009., 2009
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

open access: yes, 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

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

The boundedness of commutator of Riesz transform associated with Schrödinger operators on a Hardy space

open access: yesJournal of Function Spaces, Volume 7, Issue 3, Page 241-250, 2009., 2009
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

Remark on the boundedness of the Cauchy singular integral operator on variable Lebesgue spaces with radial oscillating weights

open access: yesJournal of Function Spaces, Volume 7, Issue 3, Page 301-311, 2009., 2009
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

open access: yes, 2015
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

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