Results 41 to 50 of about 7,246 (194)
New formulas for decreasing rearrangements and a class of Orlicz-Lorentz spaces
, 2013 Using a nonlinear version of the well known Hardy-Littlewood inequalities, we derive new formulas for decreasing rearrangements of functions and sequences in the context of convex functions.
Kamińska, Anna, Raynaud, Yves
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DIFFERENCE SEQUENCE SPACES DEFINED BY ORLICZ FUNCTIONS
Demonstratio Mathematica, 1999 There are five results in this paper. Given a sequence \(x= (x_k)\), \(\Delta x_k\) stands for \(x_k- x_{k+1}\) and \(\Delta x= (\Delta x_k: k= 1,2,\dots)\). Let \(\ell_\infty\), \(c\), \(c_0\) be the spaces of the bounded, the convergent and the null sequences, respectively.
Mursaleen, Khan, Mushir A., Qamaruddin
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Pointwise mutipliers of Orlicz function spaces and factorization [PDF]
Positivity, 2017 In the paper we find representation of the space of pointwise multipliers between two Orlicz function spaces, which appears to be another Orlicz space and the formula for the Young function generating this space is given. Further, we apply this result to find necessary and suffcient conditions for factorization of Orlicz function spaces.
Leśnik, Karol, Tomaszewski, Jakub
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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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Monotonicity in Modular Function Spaces Equipped with O-norm
Journal of Harbin University of Science and TechnologyModular function spaces are extensions of Lebesgue spaces and Orlicz spaces. We introduce Orlicz norm in Modular function spaces, and study the monotonicity in modular function spaces equipped with O-norm and L-norm.
HU Xuemei, CUI Yunan
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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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Locally Nearly Uniformly Convex Points in Orlicz Spaces Equipped with the Luxemburg Norm
AxiomsThis research explores two novel geometric concepts—nearly convex points and locally nearly uniformly convex points within the frameworks of Banach spaces and Orlicz spaces equipped with the Luxemburg norm.
Yunan Cui, Xiaoxia Wang, Yaoming Niu
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𝑝-Carleson Measures for a Class of Hardy-Orlicz Spaces
International Journal of Mathematics and Mathematical Sciences, 2011 An alternative interpretation of a family of weighted Carleson measures is used to characterize 𝑝-Carleson measures for a class of Hardy-Orlicz spaces admitting a nice weak factorization.
Benoît Florent Sehba
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Orlicz Function Spaces and Composition Operator [PDF]
, 2013 In our dissertation we present here the salient features from the theory of Orlicz function spaces, LÖ(Ù), generated by the Young’s function Ö on an arbitrary ó−finite measurable spaces Ù.
Giri, Chinmay Kumar
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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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