Results 21 to 30 of about 7,246 (194)
Interpolation inequalities in generalized Orlicz-Sobolev spaces and applications
Open 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
Kadec-Klee Property in Orlicz Function Spaces Equipped with S-Norms
Journal of Function Spaces, 2022 Using some new techniques, the necessary and sufficient conditions for Kadec-Klee property of Orlicz function spaces equipped with s-norms are presented.
Jiaqi Dong, Yunan Cui, Marek Wisła
doaj +1 more source
Martingale transforms on Banach function spaces
Electronic Research Archive, 2022 We establish the boundedness of martingale transforms on Banach function spaces by using the Rubio de Francia extrapolation theory and the interpolation theorem by Zygmund.
Kwok-Pun Ho
doaj +1 more source
Extreme Points and Rotundity in Musielak-Orlicz-Bochner Function Spaces Endowed with Orlicz Norm
Abstract and Applied Analysis, 2010 The criteria for extreme point and rotundity of Musielak-Orlicz-Bochner function spaces equipped with Orlicz norm are given. Although criteria for extreme point of Musielak-Orlicz function spaces equipped with the Orlicz norm were known, we can easily ...
Shaoqiang Shang, Yunan Cui, Yongqiang Fu
doaj +1 more source
Journal of Function Spaces, 2019 As is well known, the extreme points and strongly extreme points play important roles in Banach spaces. In this paper, the criterion for strongly extreme points in Orlicz spaces equipped with s-norm is given.
Yunan Cui, Yujia Zhan
doaj +1 more source
The Daugavet property in the Musielak-Orlicz spaces
, 2014 We show that among all Musielak-Orlicz function spaces on a $\sigma$-finite non-atomic complete measure space equipped with either the Luxemburg norm or the Orlicz norm the only spaces with the Daugavet property are $L_1$, $L_{\infty}$, $L_1\oplus_1 L_ ...
Kamińska, Anna, Kubiak, Damian
core +1 more source
Strongly Extreme Points in Orlicz Function Spaces
Journal of Mathematical Analysis and Applications, 1995 For any Orlicz function \(\Phi\) and any \(\sigma\)-finite atomless measure \(\mu\), the authors give a criterion for \(x\) from the unit sphere of the Orlicz space \(L^ \Phi(\mu)\), equipped with the Luxemburg norm, to be strongly extreme. Further, they characterize Orlicz spaces \(L^ \Phi(\mu)\) which are isometric to \(L^ \infty(\mu)\).
Hudzik, H., Kurc, W., Wisla, M.
openaire +2 more sources
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 +2 more
openaire +3 more sources
Convex functions on dual Orlicz spaces [PDF]
Positivity, 2019 In the dual $L_{ ^*}$ of a $ _2$-Orlicz space $L_ $, that we call a dual Orlicz space, we show that a proper (resp. finite) convex function is lower semicontinuous (resp. continuous) for the Mackey topology $ (L_{ ^*},L_ )$ if and only if on each order interval $[- , ]=\{ : - \leq \leq \}$ ($ \in L_{ ^*}$), it is lower semicontinuous ...
Freddy Delbaen, Keita Owari
openaire +2 more sources
SOME SEQUENCE SPACES DEFINED BY ORLICZ FUNCTIONS
Demonstratio Mathematica, 2000 A lacunary sequence \(\theta= (k_r)\), \(r= 0,1,2,\dots\) with \(k_0= 0\), \(k_r-k_{r-1}\to \infty\) is given. The intervals determined by \(\theta\) are \(I_r= (k_{r-1}, k_r]\). Let \(h_r= k_r-k_{r-1}\). Define \[ [N_\theta, M,p]= \Biggl\{(x_k): \lim_{r\to\infty} h^{-1}_r \sum_k\Biggl[M\Biggl({|x_k- \ell|\over\rho}\Biggr)\Biggr]^{p_k}= 0\text{ for ...
Bhardwaj, Vinod K., Singh, Niranjan
openaire +1 more source