Results 11 to 20 of about 5,147,452 (212)

Maximal function in Beurling–Orlicz and central Morrey–Orlicz spaces

open access: yesColloquium Mathematicum, 2015
We define Beurling–Orlicz spaces, weak Beurling–Orlicz spaces, Herz–Orlicz spaces, weak Herz–Orlicz spaces, central Morrey–Orlicz spaces and weak central Morrey–Orlicz spaces.
Maligranda, Lech, Matsuoka, Katsuo
openaire   +4 more sources

Monotonicities in Orlicz Spaces Equipped with Mazur-Orlicz F-Norm

open access: yesJournal of Function Spaces, 2020
Some basic properties in Orlicz spaces and Orlicz sequence spaces that are generated by monotone function equipped with the Mazur-Orlicz F-norm are studied in this paper. We give some relationships between the modulus and the Mazur-Orlicz F-norm.
Xinran Bai, Yunan Cui, Joanna Kończak
doaj   +2 more sources

An inequality for functions with derivatives in an Orlicz space [PDF]

open access: yesProceedings of the American Mathematical Society, 1964
function p(v) defined for v > 0, continuous from the right, satisfying conditions p(0) =0, p(v)-- oo (v-- coo) and such that M(u) =fiuIp(v) dv for all u. Writing q(u) =sup { v: p(v) 0 for which p(v) ? e. Moreover, the Young's inequality uv ? M(u) +N(v) holds for all u and v (see [1, ??1-2]).
Bojanic, R., Musielak, J.
openaire   +1 more source

Strongly extreme points of Orlicz function spaces equipped with Φ-Amemiya norm

open access: yesJournal of Inequalities and Applications, 2020
In this paper, the criterion that points of Orlicz function spaces equipped with Φ-Amemiya norm generated by an Orlicz function are strongly extreme is given.
Lili An, Yunan Cui
doaj   +1 more source

Compact Operators Under Orlicz Function

open access: yesIndian Journal of Pure and Applied Mathematics, 2020
14pages
Ma, Zhenhua, Kui, Ji, Li, Yucheng
openaire   +3 more sources

Universal classes of Orlicz function spaces [PDF]

open access: yesPacific Journal of Mathematics, 1992
It is proved that for each ...
Hernández, Francisco L., Ruiz, César
openaire   +3 more sources

Asymptotically isometric copies of c_{0} in Musielak-Orlicz spaces [PDF]

open access: yesOpuscula Mathematica, 2014
Criteria in order that a Musielak-Orlicz function space \(L^\Phi\) as well as Musielak-Orlicz sequence space \(l^\Phi\) contains an asymptotically isometric copy of \(c_0\) are given. These results extend some results of [Y.A. Cui, H. Hudzik, G. Lewicki,
Agata Narloch, Lucjan Szymaszkiewicz
doaj   +1 more source

Atomic and Wavelet Characterization of Musielak–Orlicz Hardy Spaces for Generalized Orlicz Functions [PDF]

open access: yesIntegral Equations and Operator Theory, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mitsuo Izuki   +2 more
openaire   +2 more sources

LITTLEWOOD–PALEY 𝑔*_𝜆-FUNCTION CHARACTERIZATIONS OF MUSIELAK–ORLICZ HARDY SPACES ON SPACES OF HOMOGENEOUS TYPE

open access: yesПроблемы анализа, 2023
Let (𝒳 , 𝑑, 𝜇) be a space of homogeneous type, in the sense of Coifman and Weiss, and 𝜙 : 𝒳 x [0,\infty) -> [0, \infty) satisfy that, for almost every 𝑥 \in 𝒳, 𝜙(𝑥,.) is an Orlicz function and that 𝜙(., 𝑡) is a Muckenhoupt weight uniformly in 𝑡 \in [0 ...
X. Yan
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

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