Results 101 to 110 of about 1,960 (141)

Boundedness of the maximal operator in the local Morrey-Lorentz spaces

, 2013
In this paper we define a new class of functions called local Morrey-Lorentz spaces Mp,q;λloc(Rn ...
C. Aykol, V. Guliyev, A. Serbetci
semanticscholar   +1 more source

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

Open 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

Variable integral and smooth exponent Triebel-Lizorkin spaces associated with a non-negative self-adjoint operator

, 2017
In this paper, variable integral and smooth exponent Triebel-Lizorkin spaces associated with a non-negative self-adjoint operator are introduced. Then equivalent norms and atomic decomposition of these new spaces are given.
Jingshi Xu, Xiaodi Yang
semanticscholar   +1 more source

ON THE BOUNDEDNESS OF DUNKL-TYPE FRACTIONAL INTEGRAL OPERATOR IN THE GENERALIZED DUNKL-TYPE MORREY SPACES

, 2018
First, we prove that the Dunkl-type maximal operator Mα is bounded on the generalized Dunkl-type Morrey spaces Mp,ω,α for 1 < p < ∞ and from the spaces M1,ω,α to the weak spaces WM1,ω,α.
Y. Mammadov, S. Hasanli
semanticscholar   +1 more source

The John–Nirenberg inequality in ball Banach function spaces and application to characterization of BMO

Journal of Inequalities and Applications, 2019
Our goal is to obtain the John–Nirenberg inequality for ball Banach function spaces X, provided that the Hardy–Littlewood maximal operator M is bounded on the associate space X′ $X'$ by using the extrapolation.
Mitsuo Izuki, Takahiro Noi, Yoshihiro Sawano   +2 more
doaj   +1 more source

Averages Along the Primes: Improving and Sparse Bounds

Concrete Operators, 2020
Consider averages along the prime integers ℙ given ...
Han Rui, Krause Ben, Lacey Michael T., Yang Fan   +3 more
doaj   +1 more source

Embeddings between Triebel-Lizorkin Spaces on Metric Spaces Associated with Operators

Analysis and Geometry in Metric Spaces, 2020
We consider the general framework of a metric measure space satisfying the doubling volume property, associated with a non-negative self-adjoint operator, whose heat kernel enjoys standard Gaussian localization.
Georgiadis Athanasios G., Kyriazis George   +1 more
doaj   +1 more source

Weak and strong $A_p$-$A_\infty$ estimates for square functions and related operators

, 2017
We prove sharp weak and strong type weighted estimates for a class of dyadic operators that includes majorants of both standard singular integrals and square functions.
Hytönen, Tuomas P., Li, Kangwei
core   +1 more source

Bloom-type two-weight inequalities for commutators of maximal functions

Analysis and Geometry in Metric Spaces
We study Bloom-type two-weight inequalities for commutators of the Hardy-Littlewood maximal function and sharp maximal function. Some necessary and sufficient conditions are given to characterize the two-weight inequalities for such commutators.
Zhang Pu, Fan Di
doaj   +1 more source

Commutators for the maximal and sharp functions with weighted Lipschitz functions on weighted Morrey spaces

Demonstratio Mathematica
We study the boundedness of commutators of the Hardy-Littlewood maximal function and the sharp maximal function on weighted Morrey spaces when the symbols of the commutators belong to weighted Lipschitz spaces (weighted Morrey-Campanato spaces). Some new
Zhang Pu, Fan Di
doaj   +1 more source