Results 51 to 60 of about 6,800 (182)
Relationships between combinatorial measurements and Orlicz norms (II)
Journal of Functional Analysis, 2009 A sub-\(\alpha\)-Orlicz function \(\Phi\), \(\alpha> 1\), is defined and an Orlicz function \(M_\phi\), generated by \(\Phi\). For any infinite set \(F\subset Y^n\) \((n\geq 1)\), let \(\Psi_F:\mathbb{N}\to\mathbb{N}\) be defined by \[ \Psi_F(s)= \max\{|F\cap(A_1\times\cdots\times A_n)|: A_j\subset Y,\,|A_j|\leq s,\,j= 1,\dots, n\}. \] Let \(d_F(\Phi)=
Blei, Ron, Ge, Lin
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Superlinear perturbations of a double‐phase eigenvalue problem
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We consider a perturbed version of an eigenvalue problem for the double‐phase operator. The perturbation is superlinear, but need not satisfy the Ambrosetti–Robinowitz condition. Working on the Sobolev–Orlicz space W01,η(Ω)$ W^{1,\eta }_{0}(\Omega)$ with η(z,t)=α(z)tp+tq$ \eta (z,t)=\alpha (z)t^{p}+t^{q}$ for 1
Yunru Bai +2 more
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Weak Orlicz-Hardy Martingale Spaces [PDF]
, 2013 In this paper, several weak Orlicz-Hardy martingale spaces associated with concave functions are introduced, and some weak atomic decomposition theorems for them are established.
Jiao, Yong, Wu, Lian
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Normalized solutions of the critical Schrödinger–Bopp–Podolsky system with logarithmic nonlinearity
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract In this paper, we study the following critical Schrödinger–Bopp–Podolsky system driven by the p$p$‐Laplace operator and a logarithmic nonlinearity: −Δpu+V(εx)|u|p−2u+κϕu=λ|u|p−2u+ϑ|u|p−2ulog|u|p+|u|p*−2uinR3,−Δϕ+a2Δ2ϕ=4π2u2inR3.$$\begin{equation*} {\begin{cases} -\Delta _p u+\mathcal {V}(\varepsilon x)|u|^{p-2}u+\kappa \phi u=\lambda |u|^{p-2 ...
Sihua Liang +3 more
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Some properties of pre-quasi norm on Orlicz sequence space
Journal of Inequalities and Applications, 2020 In this article, we introduce the concept of pre-quasi norm on E (Orlicz sequence space), which is more general than the usual norm, and give the conditions on E equipped with the pre-quasi norm to be Banach space.
Awad A. Bakery, Afaf R. Abou Elmatty
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Isometries of Musielak-Orlicz Spaces Equipped with the Orlicz Norm
Rocky Mountain Journal of Mathematics, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The domination theorem for operator classes generated by Orlicz spaces
Mathematische Nachrichten, Volume 298, Issue 11, Page 3576-3598, November 2025.Abstract We study lattice summing operators between Banach spaces focusing on two classes, ℓφ$\ell _\varphi$‐summing and strongly φ$\varphi$‐summing operators, which are generated by Orlicz sequence lattices ℓφ$\ell _\varphi$. For the class of strongly φ$\varphi$‐summing operators, we prove the domination theorem, which complements Pietsch's ...
D. L. Fernandez +3 more
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Embeddings between sequence variable Lebesgue spaces, strict and finitely strict singularity
Mathematische Nachrichten, Volume 298, Issue 9, Page 2926-2941, September 2025.Abstract For two variable Lebesgue spaces ℓpn$\ell _{p_n}$ and ℓqn$\ell _{q_n}$, with 0
Jan Lang, Aleš Nekvinda
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$\lambda$ PROPERTY FOR BOCHNER-ORLICZ SEQUENCE SPACES WITH ORLICZ NORM
Taiwanese Journal of Mathematics, 2008 We give the sufficient and necessary conditions of Bochner-Orlicz sequence spaces equipped with Orlicz norm that have the $\lambda$ property and uniform $\lambda$ property, respectively. The results show that the $\lambda$ property can not be lifted from $X$ to $l_{_{M}}(X)$.
Shi, Zhongrui, Xie, Linsen
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Stochastic integration with respect to cylindrical Lévy processes in Hilbert spaces
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract In this work, we present a comprehensive theory of stochastic integration with respect to arbitrary cylindrical Lévy processes in Hilbert spaces. As cylindrical Lévy processes do not enjoy a semimartingale decomposition, our approach relies on an alternative approach to stochastic integration by decoupled tangent sequences.
Gergely Bodó, Markus Riedle
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