Results 111 to 120 of about 1,659 (229)

Potential estimates in Orlicz spaces [PDF]

Pacific Journal of Mathematics, 1988
Using the capacity method, the author establishes inequalities useful in solving quasilinear Dirichlet problems of the form \[ (1-\Delta)^ mu=f(x,u)\quad in\quad \Omega \subset {\mathbb{R}}^ n,\quad u(x)=0\quad on\quad \partial \Omega, \] by means of topological methods. More precisely, he considers continuous even functions \(M_ 0\), M: \({\mathbb{R}}\
openaire   +2 more sources

Extreme compact operators from Orlicz spaces to $C(\Omega)$ [PDF]

, 1993
summary:Let $E^{\varphi }(\mu )$ be the subspace of finite elements of an Orlicz space endowed with the Luxemburg norm. The main theorem says that a compact linear operator $T:E^{\varphi }(\mu )\rightarrow C(\Omega )$ is extreme if and only if $T^{\ast }\
Chen, Shutao, Wisła, Marek
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SOME PROPERTIES OF MODULAR TOPOLOGY IN THE ORLICZ SEQUENCE SPACE [PDF]

In this article, we examined some properties of modular topology on the Orlicz sequence space. Discussions were conducted by constructing the topology on the sequence space using a modular neighborhood of zero. The neighborhood forms a local base that is
Haryadi, Haryadi, Solikhin, Solikhin
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Orlicz-space Hardy and Landau–Kolmogorov inequalities for Gaussian measures [PDF]

, 2012
We prove Orlicz-space versions of Hardy and Landau–Kolmogorov inequalities for Gaussian measures on ...
Katarzyna Pietruska-Pałuba, Krzysztof Oleszkiewicz   +1 more
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Orlicz Spaces and Their Hyperbolic Composition Operators

Mathematics
In this paper, by extending some Lp-norm inequalities to similar inequalities for Orlicz space (LΦ-norm), we provide equivalent conditions for composition operators to have the shadowing property on the Orlicz space LΦ(μ).
Mohammed Said Al Ghafri, Yousef Estaremi, Zhidong Huang   +2 more
doaj   +1 more source

Inclusions of Hardy Orlicz spaces [PDF]

International Journal of Mathematics and Mathematical Sciences, 1986
Let ϕ be a continuous positive increasing function defined on [0, ∞) such that ϕ(x + y) ≤ ϕ(x) + ϕ(y) and ϕ(0) = 0. The Hardy‐Orlicz space generated by ϕ is denoted by H(ϕ). In this paper, we prove that for ϕ ≠ ψ, if H(ϕ) = H(ψ) as sets, then H(ϕ) = H(ψ) as topological vector spaces. Some other results are given.
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SIFAT INKLUSI DAN KETAKSAMAAN HÖLDER PADA RUANG BARISAN ORLICZ DIPERUMUM [PDF]

, 2023
Ruang Orlicz pertama kali diperkenalkan oleh Z. W. Birnbaum dan W. Orlicz sebagai perluasan dari ruang Lebesgue pada tahun 1931. Terdapat dua jenis ruang Orlicz, yaitu ruang Orlicz kontinu dan ruang barisan Orlicz.
Dasep, -
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Approximating Polynomials for Functions of Weighted Smirnov-Orlicz Spaces

Journal of Function Spaces and Applications, 2012
Let 𝐺0 and 𝐺∞ be, respectively, bounded and unbounded components of a plane curve Γ satisfying Dini's smoothness condition. In addition to partial sum of Faber series of 𝑓 belonging to weighted Smirnov-Orlicz space 𝐸𝑀,𝜔 (𝐺0), we prove that interpolating ...
Ramazan Akgün
doaj   +1 more source

Nonsquareness and Locally Uniform Nonsquareness in Orlicz-Bochner Function Spaces Endowed with Luxemburg Norm

Journal of Inequalities and Applications, 2011
Criteria for nonsquareness and locally uniform nonsquareness of Orlicz-Bochner function spaces equipped with Luxemburg norm are given. We also prove that, in Orlicz-Bochner function spaces generated by locally uniform nonsquare Banach space ...
Cui Yunan, Shang Shaoqiang, Fu Yongqiang
doaj  

Copies of $l^1$ and $c_o$ in Musielak-Orlicz sequence spaces [PDF]

, 1994
summary:Criteria in order that a Musielak-Orlicz sequence space $l^\Phi$ contains an isomorphic as well as an isomorphically isometric copy of $l^1$ are given. Moreover, it is proved that if $\Phi = (\Phi_i)$, where $\Phi_i$ are defined on a Banach space,
Alherk, Ghassan, Hudzik, Henryk
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