Results 91 to 100 of about 238 (112)

The Fusarium graminearum effector protease FgTPP1 suppresses immune responses and facilitates Fusarium Head Blight Disease

Darino M, Jaiswal N, Darma R, Kroll E, Urban M, Xiang Y, Srivastava M, Kim H, Myers A, Scofield SR, Innes RW, Hammond-Kosack KE, Helm M.   +12 more
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On the comparison of the Lorentz and Luxemburg norms of the Lp log L space

Analysis Mathematica, 2021
The paper shows a clear relationship between the \(L^p\log L[0,1]\) space \((1\leqslant p
Mező, I., Lu, J.-Y.
exaly   +2 more sources

Rotundity of Orlicz-Bochner space with Luxemburg norm

Journal of Shanghai University, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Yuxia, Shi, Zhongrui, Zhang, Pin
exaly   +3 more sources

On Some Convexity Properties of Orlicz Sequence Spaces Equipped with the Luxemburg Norm

Mathematische Nachrichten, 1997
AbstractRotundity of finite ‐dimensional Orlicz spaces lϕn equipped with the Luxemburg norm is considered. It is proved that criteria for rotundity of lϕnfor n ≥ 3 does not depend on n and are the same as the criteria for rotundity of the inhite‐dimensional subspace hϕ of an Orlicz sequence spacelϕ. Criteria for rotundity of lϕ2 are different.
Henryk Hudzik, Diethard Pallaschke
exaly   +3 more sources

Points of monotonicity in Musielak-Orlicz function spaces endowed with the Luxemburg norm

Archiv Der Mathematik, 2004
For a Banach function lattice \(X\) with the cone \(X^+\) of its positive elements, let \(S(X^+)= S(X)\cap X^+\), \(S(X)\) being the unit sphere in \(X\). Let \(L_M\) be a Musielak-Orlicz space with Luxemburg norm and \(E_M\) the subspace of finite elements of \(L_M\).
H Hudzik
exaly   +2 more sources

A note on the convergence of Orlicz-Bochner spaces with the Luxemburg norm

Journal of Shanghai University, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +2 more sources

k-I-uniform convexity of Orlicz-Lorentz spaces endowed with the Luxemburg norm

Journal of Mathematical Analysis and Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wanzhong Gong
exaly   +3 more sources

Maluta’s coefficient and Opial’s properties in Musielak–Orlicz sequence spaces equipped with the Luxemburg norm

Nonlinear Analysis: Theory, Methods & Applications, 1999
Consider \(\varphi =(\varphi _{i})_{i=1}^{\infty }\) a Musielak-Orlicz function (i.e. \(\varphi _{i}\) is a Orlicz function for every \(i\)) and \(\ell ^{\varphi }=\{x\in \ell ^{0}\mid \sum_{i=1}^{\infty }\varphi _{i}(\lambda x_{i})0\}\) the Musielak-Orlicz sequence space.
Cui Yunan, Henryk Hudzik
exaly   +3 more sources

Uniform Gateaux differentiability and weak uniform rotundity in Musielak–Orlicz function spaces of Bochner type equipped with the Luxemburg norm

Nonlinear Analysis: Theory, Methods & Applications, 2012
Let \(\Phi\) and \(\Psi\) be a Musielak-Orlicz function and its complementary function in the sense of Young, respectively. The main result of this paper concerns weak uniform rotundity in Musielak-Orlicz function spaces of Bochner type equipped with the Luxemburg norm (see Theorem 2 and Lemmas 3-6). Namely, it is shown that if the dual space \(X^{\ast}
Cui Yunan, Shaoqiang Shang, Henryk Hudzik   +2 more
exaly   +2 more sources