Results 51 to 60 of about 188,291 (210)
On the Distribution of Random variables corresponding to Musielak-Orlicz norms
, 2013 Given a normalized Orlicz function $M$ we provide an easy formula for a distribution such that, if $X$ is a random variable distributed accordingly and $X_1,...,X_n$ are independent copies of $X$, then the expected value of the p-norm of the vector ...
Alonso-Gutierrez, David +3 more
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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
wiley +1 more source
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
core
On I-Convergence Difference Sequence Spaces Defined by Orlicz Function in 2−Normed Space
Journal of Nepal Mathematical SocietyThe difference sequence spaces of type I-convergent, I-null, bounded I-convergent, and bounded I-null in 2−normed space are introduced and studied using the Orlicz function.
J. L. Ghimire +2 more
semanticscholar +1 more source
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
wiley +1 more source
New Difference Sequence Spaces Defined by Musielak-Orlicz Function
Abstract and Applied Analysis, 2014 We introduce new sequence spaces by using Musielak-Orlicz function and a generalized B∧ μ-difference operator on n-normed space. Some topological properties and inclusion relations are also examined.
M. Mursaleen +3 more
doaj +1 more source
Advances in Difference Equations, 2020 In this paper, the Nörlund–Orlicz difference sequence space N t ( F , Δ n m , u , q ) $\mathcal{N}^{t}(\mathcal{F},\Delta^{m}_{n},u,q)$ of nonabsolute type is introduced as a domain of Nörlund means which is isomorphic to the space ℓ ( p ) $\ell(p)$ and ...
Adem Kılıçman, Kuldip Raj
doaj +1 more source
New results on mixture and exponential models by Orlicz spaces
, 2016 New results and improvements in the study of nonparametric exponential and mixture models are proposed. In particular, different equivalent characterizations of maximal exponential models, in terms of open exponential arcs and Orlicz spaces, are given ...
Santacroce, Marina +2 more
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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
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
wiley +1 more source