Results 61 to 70 of about 89 (87)

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

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

Pseudodifferential operators and their commutators on Morrey type spaces

Demonstratio Mathematica
This paper discusses the boundedness of the commutators generated by pseudodifferential operators with Lipschitz functions, and sets up the sufficient condition such that these operators are bounded on classical Morrey spaces and generalized Morrey ...
Deng Yu-Long
doaj   +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

Degrees of maps and multiscale geometry

Forum of Mathematics, Pi
We study the degree of an L-Lipschitz map between Riemannian manifolds, proving new upper bounds and constructing new examples. For instance, if $X_k$ is the connected sum of k copies of $\mathbb CP^2$ for $k \ge 4$ , then we prove ...
Aleksandr Berdnikov, Larry Guth, Fedor Manin   +2 more
doaj   +1 more source

Some inequalities for Cesàro means of double Vilenkin-Fourier series. [PDF]

J Inequal Appl, 2018
Tepnadze T, Persson LE.
europepmc   +1 more source

Oscillation and variation inequalities for the multilinear singular integrals related to Lipschitz functions. [PDF]

J Inequal Appl, 2017
Hu Y, Wang Y.
europepmc   +1 more source

Variation and oscillation for the multilinear singular integrals satisfying Hörmander type conditions. [PDF]

J Inequal Appl, 2018
Xia Y.
europepmc   +1 more source