Results 11 to 20 of about 1,883 (143)

Local sharp maximal functions, geometrical maximal functions and rough maximal functions on local Morrey spaces with variable exponents

Mathematical Inequalities & Applications, 2020
We study the local Morrey spaces with variable exponents. We show that the local block space with variable exponents are pre-duals of the local Morrey spaces with variable exponents. Using this duality, we establish the extrapolation theory for the local
T. Yee, K. Cheung, K. Ho, Chun Kit Suen
semanticscholar   +1 more source

Weak and strong estimates for linear and multilinear fractional Hausdorff operators on the Heisenberg group

Open Mathematics, 2021
This paper is devoted to the weak and strong estimates for the linear and multilinear fractional Hausdorff operators on the Heisenberg group Hn{{\mathbb{H}}}^{n}. A sharp strong estimate for TΦm{T}_{\Phi }^{m} is obtained.
Deng Yangkendi, Zhang Xingsong, Yan Dunyan, Wei Mingquan   +3 more
doaj   +1 more source

DYADIC TRIANGULAR HILBERT TRANSFORM OF TWO GENERAL FUNCTIONS AND ONE NOT TOO GENERAL FUNCTION

Forum of Mathematics, Sigma, 2015
The so-called triangular Hilbert transform is an elegant trilinear singular integral form which specializes to many well-studied objects of harmonic analysis.
VJEKOSLAV KOVAČ, CHRISTOPH THIELE, PAVEL ZORIN-KRANICH   +2 more
doaj   +1 more source

Oscillatory hyper-Hilbert transform on Wiener amalgam spaces

Open Mathematics, 2021
We study the boundedness of the oscillatory integral Tα,βf(x,y)=∫Q2f(x−γ1(t),y−γ2(s))e−2πit−β1s−β2t−α1−1s−α2−1dtds{T}_{\alpha ,\beta }f\left(x,y)=\mathop{\int }\limits_{{Q}^{2}}f\left(x-{\gamma }_{1}\left(t),y-{\gamma }_{2}\left(s)){e}^{-2\pi i{t ...
Sun Wei, Xie Ru-Long, Xu Liang-Yu
doaj   +1 more source

Sharp function estimates and boundedness for Toeplitz-type operators associated with general fractional integral operators

Open Mathematics, 2021
In this paper, we establish some sharp maximal function estimates for certain Toeplitz-type operators associated with some fractional integral operators with general kernel.
Chen Dazhao, Huang Hui
doaj   +1 more source

A note on weighted bounds for rough singular integrals [PDF]

, 2017
We show that the $L^2(w)$ operator norm of the composition $M\!\circ T_{\Omega}$, where $M$ is the maximal operator and $T_{\Omega}$ is a rough homogeneous singular integral with angular part $\Omega\in L^{\infty}(S^{n-1})$, depends quadratically on $[w ...
Lerner, Andrei K.
core   +3 more sources

Characterizations for the genuine Calderón-Zygmund operators and commutators on generalized Orlicz-Morrey spaces

Advances in Nonlinear Analysis, 2023
In this article, we show continuity of commutators of Calderón-Zygmund operators [b,T]\left[b,T] with BMO functions in generalized Orlicz-Morrey spaces MΦ,φ(Rn){M}^{\Phi ,\varphi }\left({{\mathbb{R}}}^{n}). We give necessary and sufficient conditions for
Guliyev V. S., Omarova Meriban N., Ragusa Maria Alessandra   +2 more
doaj   +1 more source

Some estimates for the commutators of multilinear maximal function on Morrey-type space

Open Mathematics, 2021
In this paper, we study the equivalent conditions for the boundedness of the commutators generated by the multilinear maximal function and the bounded mean oscillation (BMO) function on Morrey space.
Yu Xiao, Zhang Pu, Li Hongliang
doaj   +1 more source

Boundedness and continuity of maximal operators associated to polynomial compound curves on Triebel-Lizorkin spaces

Mathematical Inequalities & Applications, 2019
In this paper we study the Triebel-Lizorkin space boundedness and continuity of maximal operators related to rough singular integrals associated to polynomial compound curves.
Feng Liu
semanticscholar   +1 more source