Results 1 to 10 of about 7,644 (191)
Marcinkiewicz Integrals on Weighted Weak Hardy Spaces [PDF]
Journal of Function Spaces, 2014 We prove that, under the condition Ω∈Lipα, Marcinkiewicz integral μΩ is bounded from weighted weak Hardy space WHwpRn to weighted weak Lebesgue space WLwpRn for maxn/n+1/2,n/n ...
Yue Hu, Yueshan Wang
doaj +2 more sources
Boundedness of Marcinkiewicz integrals with rough kernels on Musielak-Orlicz Hardy spaces [PDF]
Journal of Inequalities and Applications, 2017 Let φ : R n × [ 0 , ∞ ) → [ 0 , ∞ ) $\varphi:\mathbb{R}^{n}\times[0, \infty) \to[0, \infty)$ satisfy that φ ( x , ⋅ ) $\varphi(x, \cdot)$ , for any given x ∈ R n $x\in\mathbb{R}^{n}$ , is an Orlicz function and φ ( ⋅ , t ) $\varphi(\cdot, t)$ is a ...
Bo Li, Minfeng Liao, Baode Li
doaj +2 more sources
Walsh-Marcinkiewicz means and Hardy spaces
Open Mathematics, 2014 Abstract The main aim of this paper is to investigate the Walsh-Marcinkiewicz means on the Hardy space H p, when 0 < p < 2/3. We define a weighted maximal operator of Walsh-Marcinkiewicz means and establish some of its properties.
Nagy Károly, Tephnadze George
doaj +3 more sources
Marcinkiewicz sampling theorem for Orlicz spaces
Positivity, 2022 In the article we generalize the Marcinkiewicz sampling theorem in the context of Orlicz spaces. We establish conditions under which sampling theorem holds in terms of restricted submultiplicativity and supermultiplicativity of an $N$-function $φ$, boundedness of the Hilbert transform and Matuszewska-Orlicz indices.
Aleksander Pawlewicz +1 more
openaire +3 more sources
On boundedness of the Hilbert transform on Marcinkiewicz spaces
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 We study boundedness properties of the classical (singular) Hilbert transform (Hf)(t) = p.v.1/π ∫R f(s)/(t − s) ds, acting on Marcinkiewicz spaces. The Hilbert transform is a linear operator which arises from the study of boundary values of the real and
N.T. Bekbayev, K.S. Tulenov
doaj +1 more source
Interpolation of nonlinear integral Urysohn operators in net spaces [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 In this paper, we study the interpolation properties of the net spaces Np,q(M), in the case when M is a sufficiently general arbitrary system of measurable subsets from Rn. The integral Urysohn operator is considered.
A.H. Kalidolday, E.D. Nursultanov
doaj +2 more sources
Journal of Function Spaces, 2022 In this article, we prove the boundedness of the parametric Marcinkiewicz integral and its higher-order commutators generated by BMO spaces on the variable Morrey-Herz space. All the results are new even when α· is a constant.
Omer Abdalrhman Omer +3 more
doaj +1 more source
One result on boundedness of the Hilbert transform in Marcinkiewics spaces
Вестник КазНУ. Серия математика, механика, информатика, 2022 In mathematics and in signal theory, the Hilbert transform is an important linear operator that takes a real-valued function and produces another real-valued function.
Nurken Tursynbayuly Bekbayev +1 more
doaj +1 more source
The Grothendieck property in Marcinkiewicz spaces [PDF]
Indagationes Mathematicae, 2020 The main pupose of this paper is to fully characterize continuous concave functions $ $ such that the corresponding Marcinkiewicz Banach function space $M_{ }$ is a Grothendieck space.
de Pagter, B., Sukochev, F. A.
openaire +3 more sources
Noncoercive parabolic obstacle problems
Advances in Nonlinear Analysis, 2023 We prove an existence result for obstacle problems related to convection-diffusion parabolic equations with singular coefficients in the convective term.
Farroni Fernando +3 more
doaj +1 more source