Results 1 to 10 of about 1,618 (104)

Mean oscillation and boundedness of multilinear operator related to multiplier operator

Open Mathematics, 2021
In this paper, the boundedness of certain multilinear operator related to the multiplier operator from Lebesgue spaces to Orlicz spaces is obtained.
Zhao Qiaozhen, Huang Dejian
doaj   +1 more source

Commutators of multilinear strongly singular integrals on nonhomogeneous metric measure spaces

Open Mathematics, 2021
Let (X,d,μ)\left(X,d,\mu ) denote nonhomogeneous metric measure space satisfying geometrically doubling and the upper doubling measure conditions.
Wang Hailian, Xie Rulong
doaj   +1 more source

Non-local gradients in bounded domains motivated by continuum mechanics: Fundamental theorem of calculus and embeddings

Advances in Nonlinear Analysis, 2023
In this article, we develop a new set of results based on a non-local gradient jointly inspired by the Riesz ss-fractional gradient and peridynamics, in the sense that its integration domain depends on a ball of radius δ>0\delta \gt 0 (horizon of ...
Bellido José Carlos, Cueto Javier, Mora-Corral Carlos   +2 more
doaj   +1 more source

Fractional Type Marcinkiewicz Integral Operator Associated with Θ-Type Generalized Fractional Kernel and Its Commutator on Non-homogeneous Spaces

Analysis and Geometry in Metric Spaces, 2022
Let (𝒳, d, μ) be a non-homogeneous metric measure space satisfying the upper doubling and geometrically doubling conditions in the sense of Hytönen. Under assumption that θ and dominating function λ satisfy certain conditions, the authors prove that ...
Lu Guanghui, Tao Shuangping, Wang Miaomiao   +2 more
doaj   +1 more source

Estimates for certain class of rough generalized Marcinkiewicz functions along submanifolds

Open Mathematics, 2023
We establish certain delicate Lp{L}^{p} bounds for a class of generalized Marcinkiewicz integral operators along submanifolds with rough kernels.
Ali Mohammed, Al-Qassem Hussain
doaj   +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