Results 1 to 10 of about 2,404 (84)

Parabolic inequalities in inhomogeneous Orlicz-Sobolev spaces with gradients constraints and L1-data

open access: yesMoroccan Journal of Pure and Applied Analysis, 2022
This work is devoted to the study of a new class of parabolic problems in inhomogeneous Orlicz spaces with gradient constraints and L1-data. One proves the existence of the solution by studying the asymptotic behaviour as p goes to ∞, of a sequence of ...
Ajagjal Sana
doaj   +1 more source

A general method to study the convergence of nonlinear operators in Orlicz spaces

open access: yesAdvanced Nonlinear Studies, 2022
We continue the work started in a previous article and introduce a general setting in which we define nets of nonlinear operators whose domains are some set of functions defined in a locally compact topological group. We analyze the behavior of such nets
Vinti Gianluca, Zampogni Luca
doaj   +1 more source

Commutators of Hardy-Littlewood operators on p-adic function spaces with variable exponents

open access: yesOpen Mathematics, 2023
In this article, we obtain some sufficient conditions for the boundedness of commutators of pp-adic Hardy-Littlewood operators with symbols in central bounded mean oscillation space and Lipschitz space on the pp-adic function spaces with variable ...
Dung Kieu Huu, Thuy Pham Thi Kim
doaj   +1 more source

Improved fractional Trudinger-Moser inequalities on bounded intervals and the existence of their extremals

open access: yesAdvanced Nonlinear Studies, 2023
Let II be a bounded interval of R{\mathbb{R}} and λ1(I){\lambda }_{1}\left(I) denote the first eigenvalue of the nonlocal operator (−Δ)14{(-\Delta )}^{\tfrac{1}{4}} with the Dirichlet boundary.
Chen Lu, Wang Bohan, Zhu Maochun
doaj   +1 more source

Interpolation inequalities in generalized Orlicz-Sobolev spaces and applications

open access: yesOpen Mathematics, 2023
Let m∈Nm\in {\mathbb{N}} and be a generalized Orlicz function. We obtained some interpolation inequalities for derivatives in generalized Orlicz-Sobolev spaces Wm,φ(Rn){W}^{m,\varphi }\left({{\mathbb{R}}}^{n}).
Wu Ruimin, Wang Songbai
doaj   +1 more source

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

open access: yesAdvances 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.   +2 more
doaj   +1 more source

Properties of Functions on a Bounded Charge Space

open access: yesAnalysis and Geometry in Metric Spaces, 2022
A charge space (X, 𝒜, µ) is a generalisation of a measure space, consisting of a sample space X, a field of subsets 𝒜 and a finitely additive measure µ, also known as a charge.
Keith Jonathan M.
doaj   +1 more source

The Lp-mixed quermassintegrals for 0 < p < 1

open access: yesActa Universitatis Sapientiae: Mathematica, 2021
In the paper, Lp-harmonic addition, p-harmonic Blaschke addition and Lp-dual mixed volume are improved. A new p-harmonic Blaschke mixed quermassintegral is introduced.
Zhao Chang-Jian, Bencze Mihály
doaj   +1 more source

Hardy’s inequalities and integral operators on Herz-Morrey spaces

open access: yesOpen Mathematics, 2020
We obtain some estimates for the operator norms of the dilation operators on Herz-Morrey spaces. These results give us the Hardy’s inequalities and the mapping properties of the integral operators on Herz-Morrey spaces.
Yee Tat-Leung, Ho Kwok-Pun
doaj   +1 more source

Parabolic inequalities in Orlicz spaces with data in L1

open access: yesOpen Mathematics, 2021
In this paper, we provide existence and uniqueness of entropy solutions to a general nonlinear parabolic problem on a general convex set with merely integrable data and in the setting of Orlicz spaces.
Alaoui Mohammed Kbiri
doaj   +1 more source

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