Results 81 to 90 of about 221 (175)

Multiplicativity Factors for Orlicz Space Function Norms

Journal of Mathematical Analysis and Applications, 1993
Let \(\varphi\) be a Young function on \([0, \infty)\), \((T, \Omega, m)\) be a measure space, and \(L^ \varphi = L^ \varphi (T, \Omega, m)\) be an Orlicz space equipped with the Luxemburg norm \(\rho_ \varphi\) (so that \(L^ \infty \equiv L^ \varphi\) for \(\varphi (s) = \{{0, \atop \infty,} {s \in [0,1]; \atop s > 1.})\). Put \(m_{\inf} = \inf \{m(A)
Arens, Richard, Goldberg, Moshe, Luxemburg, W. A. J.   +2 more
openaire   +3 more sources

Subspace Embedding and Linear Regression with Orlicz Norm

CoRR, 2018
ICML ...
Alexandr Andoni, Chengyu Lin 0001, Ying Sheng 0004, Peilin Zhong, Ruiqi Zhong   +4 more
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On the smoothness of Orlicz sequence spaces equipped with Orlicz norm

Collectanea Mathematica, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shi, Zhongrui, Wang, Tingfu
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Two properties of norms in Orlicz spaces

Le Matematiche, 2001
A characterization of inclusion between L^p-spaces is well-known. Here we present an analogous characterization for Orlicz spaces. To this aim we use some definitions of Orlicz and Luxemburg norm that are a little bit general then usual. Also this allows
Andrea Caruso
doaj  

On small Lebesgue spaces

Journal of Function Spaces and Applications, 2005
We consider a generalized version of the small Lebesgue spaces, introduced in [5] as the associate spaces of the grand Lebesgue spaces. We find a simplified expression for the norm, prove relevant properties, compute the fundamental function and discuss ...
Claudia Capone, Alberto Fiorenza
doaj   +1 more source

Rates of convergence for regression with the graph poly-Laplacian. [PDF]

Sampl Theory Signal Process Data Anal, 2023
Trillos NG, Murray R, Thorpe M.
europepmc   +1 more source

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

Strict convexity of sequence Orlicz-Musielak spaces with Orlicz norm

Journal of Functional Analysis, 1983
AbstractH. Milnes gave in (Pacific J. Math. 18 (1957), 1451–1483) a criterion for strict convexity of Orlicz spaces with respect to the so called Orlicz norm, in the case of nonatomic measure and a usual Young function. Here there are presented necessary and sufficient conditions for strict convexity of Orlicz-Musielak spaces (J. Musielak and W. Orlicz,
openaire   +2 more sources

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  

Moduli and Characteristics of Monotonicity in Some Banach Lattices

Fixed Point Theory and Applications, 2010
First the characteristic of monotonicity of any Banach lattice X is expressed in terms of the left limit of the modulus of monotonicity of X at the point 1.
Miroslav Krbec, Radosław Kaczmarek, Henryk Hudzik, Paweł Foralewski   +3 more
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