Results 1 to 10 of about 132 (79)

A Note on a Class of Generalized Parabolic Marcinkiewicz Integrals along Surfaces of Revolution

Mathematics, 2022
In this article, certain sharp Lp estimates for a specific class of generalized Marcinkiewicz operators with mixed homogeneity associated to surfaces of revolution are established.
Mohammed Ali, Hussain Al-Qassem
doaj   +3 more sources

Weighted inequalities for generalized polynomials with doubling weights [PDF]

Journal of Inequalities and Applications, 2017
Many weighted polynomial inequalities, such as the Bernstein, Marcinkiewicz, Schur, Remez, Nikolskii inequalities, with doubling weights were proved by Mastroianni and Totik for the case 1 ≤ p < ∞ $1 \leq p < \infty$ , and by Tamás Erdélyi for 0 < p ≤ 1 $
Haewon Joung
doaj   +2 more sources

On MV-Algebraic Versions of the Strong Law of Large Numbers [PDF]

Entropy, 2019
Many-valued (MV; the many-valued logics considered by Łukasiewicz)-algebras are algebraic systems that generalize Boolean algebras. The MV-algebraic probability theory involves the notions of the state and observable, which abstract the probability ...
Piotr Nowak, Olgierd Hryniewicz
doaj   +2 more sources

Estimates for Generalized Parabolic Marcinkiewicz Integrals with Rough Kernels on Product Domains

Axioms, 2023
We prove Lp estimates of a class of generalized Marcinkiewicz integral operators with mixed homogeneity on product domains. By using these estimates along with an extrapolation argument, we obtain the boundedness of our operators under very weak ...
Mohammed Ali, Hussain Al-Qassem
doaj   +3 more sources

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   +2 more sources

On the Commutators of Marcinkiewicz Integral with a Function in Generalized Campanato Spaces on Generalized Morrey Spaces

Mathematics, 2022
This paper is devoted to exploring the mapping properties for the commutator μΩ,b generated by Marcinkiewicz integral μΩ with a locally integrable function b in the generalized Campanato spaces on the generalized Morrey spaces.
Fuli Ku, Huoxiong Wu
doaj   +3 more sources

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   +2 more sources

Boundedness of Generalized Parametric Marcinkiewicz Integrals Associated to Surfaces

Mathematics, 2019
In this article, the boundedness of the generalized parametric Marcinkiewicz integral operators M Ω , ϕ , h , ρ ( r ) is considered. Under the condition that Ω is a function in L q ( S n - 1 ) with q &
Mohammed Ali, Oqlah Al-Refai
doaj   +3 more sources

Generalized parabolic Marcinkiewicz integrals associated with polynomial compound curves with rough kernels

Demonstratio Mathematica, 2020
In this article, we study the generalized parabolic parametric Marcinkiewicz integral operators ℳΩ,h,Φ,λ(r){ {\mathcal M} }_{{\Omega },h,{\Phi },\lambda }^{(r)} related to polynomial compound curves.
Ali Mohammed, Katatbeh Qutaibeh
doaj   +3 more sources

Marcinkiewicz integrals associated with Schrödinger operator and their commutators on vanishing generalized Morrey spaces

Boundary Value Problems, 2017
Let L = − Δ + V $L=-\Delta+V$ be a Schrödinger operator, where Δ is the Laplacian on R n $\mathbb{R}^{n}$ and the non-negative potential V belongs to the reverse Hölder class RH q $\mathit{RH}_{q}$ for q ≥ n / 2 $q \ge n/2$ .
Ali Akbulut, Vagif S Guliyev, Mehriban N Omarova   +2 more
doaj   +3 more sources