Results 1 to 10 of about 4,531,126 (188)

Some characterizations of disjoint topological transitivity on Orlicz spaces. [PDF]

open access: yesJ Inequal Appl, 2018
In this paper, we study the disjointness of topological transitivity on Orlicz spaces endowed with the Orlicz norm. We first give the characterization for weighted translations to be topologically transitive.
Chen CC, Du WS.
europepmc   +2 more sources

Riesz potential and its commutators on Orlicz spaces. [PDF]

open access: yesJ Inequal Appl, 2017
In the present paper, we shall give necessary and sufficient conditions for the strong and weak boundedness of the Riesz potential operator Iα$I_{\alpha}$ on Orlicz spaces. Cianchi (J. Lond. Math. Soc.
Guliyev VS, Deringoz F, Hasanov SG.
europepmc   +2 more sources

Capacities in Generalized Orlicz Spaces [PDF]

open access: yesJournal of Function Spaces, 2018
In this paper basic properties of both Sobolev and relative capacities are studied in generalized Orlicz spaces. The capacities are compared with each other and the Hausdorff measure.
D. Baruah   +2 more
semanticscholar   +5 more sources

Inclusion properties of Orlicz and weak Orlicz spaces [PDF]

open access: yesJournal of Mathematical and Fundamental Sciences, 2016
In this paper we discuss the structure of Orlicz spaces and weak Orlicz spaces on $\mathbb{R}^n$. We obtain some necessary and sufficient conditions for the inclusion property of these spaces.
A. Masta, H. Gunawan, W. S. Budhi
semanticscholar   +6 more sources

Orlicz-Garling sequence spaces of difference operator and their domination in Orlicz-Lorentz spaces. [PDF]

open access: yesJ Inequal Appl, 2018
We introduce new classes of generalized Orlicz-Garling sequences and Orlicz-Lorentz sequences by using a sequence of Orlicz functions and difference operator. We show that the Orlicz-Garling sequence space admits a unique 1-subsymmetric basis and a 1-dominated block basic sequence in [Formula: see text].
Sharma C   +3 more
europepmc   +6 more sources

Existence Results for Double Phase Problem in Sobolev–Orlicz Spaces with Variable Exponents in Complete Manifold [PDF]

open access: yesMediterranean Journal of Mathematics, 2021
In this paper, we study the existence of non-negative non-trivial solutions for a class of double-phase problems where the source term is a Caratheodory function that satisfies the Ambrosetti–Rabinowitz type condition in the framework of Sobolev–Orlicz ...
A. Aberqi   +3 more
semanticscholar   +1 more source

A fundamental condition for harmonic analysis in anisotropic generalized Orlicz spaces [PDF]

open access: yes, 2022
A BSTRACT . Anisotropic generalized Orlicz spaces have been investigated in many recent papers, but the basic assumptions are not as well understood as in the isotropic case. We study the greatest convex minorant of anisotropic Φ -functions and prove the
P. Hasto
semanticscholar   +1 more source

On fractional Orlicz–Sobolev spaces [PDF]

open access: yesAnalysis and Mathematical Physics, 2021
AbstractSome recent results on the theory of fractional Orlicz–Sobolev spaces are surveyed. They concern Sobolev type embeddings for these spaces with an optimal Orlicz target, related Hardy type inequalities, and criteria for compact embeddings.
Angela Alberico   +3 more
openaire   +4 more sources

Quantitative estimates for Durrmeyer-sampling series in Orlicz spaces

open access: yesSampling Theory, Signal Processing, and Data Analysis, 2022
In this paper, we establish a quantitative estimate for Durrmeyer-sampling type operators in the general framework of Orlicz spaces, using a suitable modulus of smoothness defined by the involved modular functional.
D. Costarelli, Michele Piconi, G. Vinti
semanticscholar   +1 more source

GENERALIZED ORLICZ SEQUENCE SPACES [PDF]

open access: yes, 2023
Orlicz spaces were first introduced by Z. W. Birnbaum and W. Orlicz as an extension of Labesgue space in 1931. There are two types of Orlicz spaces, namely continuous Orlicz spaces and Orlicz sequence spaces.
Dasep, Dasep   +5 more
core   +2 more sources

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