Results 81 to 90 of about 4,293,985 (168)
Journal of Inequalities and Applications, 2019 In this paper, we introduce the Orlicz space corresponding to the Young function and, by virtue of the equivalent theorem between the modified K-functional and modulus of smoothness, establish the direct, inverse, and equivalent theorems for linear ...
Ling-Xiong Han, Bai-Ni Guo, Feng Qi
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Multiplicity results for logarithmic double phase problems via Morse theory
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4178-4201, December 2025.Abstract In this paper, we study elliptic equations of the form −divL(u)=f(x,u)inΩ,u=0on∂Ω,$$\begin{align*} -\operatorname{div}\mathcal {L}(u)=f(x,u)\quad \text{in }\Omega, \quad u=0 \quad \text{on } \partial \Omega, \end{align*}$$where divL$\operatorname{div}\mathcal {L}$ is the logarithmic double phase operator given by div|∇u|p−2∇u+μ(x)|∇u|q(e+|∇u ...
Vicenţiu D. Rădulescu +2 more
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Compact composition operators on Hardy-Orlicz and Bergman-Orlicz spaces [PDF]
, 2010 We construct an analytic self-map ϕ of the unit disk and an Orlicz function Ψ for which the composition operator of symbol ϕ is compact on the Hardy-Orlicz space HΨ, but not on the Bergman-Orlicz space BΨ.
Rodriguez-Piazza, Luis +8 more
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On P-convex Musielak-Orlicz Spaces [PDF]
, 1995 summary:In this paper there is proved that every Musielak-Orlicz space is reflexive iff it is $P$-convex. This is an essential extension of the results given by Ye Yining, He Miaohong and Ryszard Płuciennik [16]
Płuciennik, Ryszard +3 more
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Multipliers between Orlicz sequence space [PDF]
, 2014 Let $ M,N $ be Orlicz functions and let $ D(l_M,l_N) $ be the space of all diagonal operators (that is multipliers) acting between the Orlicz sequence spaces $ l_M $ and $ l_N $.
Naik, S
core
Packing constant for Cesàro-Orlicz sequence spaces [PDF]
, 1958 summary:The packing constant is an important and interesting geometric parameter of Banach spaces. Inspired by the packing constant for Orlicz sequence spaces, the main purpose of this paper is calculating the Kottman constant and the packing constant of
Ma, Zhen-Hua +5 more
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Existence of solutions to a nonlinear fractional diffusion equation with exponential growth
Nonlinear AnalysisIn this paper, we study a Cauchy problem for a space–time fractional diffusion equation with exponential nonlinearity. Based on the standard Lp-Lq estimates of strongly continuous semigroup generated by fractional Laplace operator, we investigate the ...
Jia Wei He +3 more
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Regular Banach space net and abstract-valued Orlicz space of range-varying type
Open Mathematics, 2019 This paper investigates the abstract-valued Orlicz space of range-varying type. We firstly give the notions and examples of partially continuous modular net and regular Banach space net of type (II), then deal with the definitions, constructions, and ...
Zhang Qinghua, Zhu Yueping
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Weak Henstock-Orlicz space and inclusion properties
, 2022 In this paper we discuss the structure of Henstock-Orlicz space with locally Henstock integrable functions. The weak Henstock-Orlicz spaces on $\mathbb{R}^n$ and some basic properties of the weak Henstock-Orlicz spaces are studied.
Hazarika, Bipan, Kalita, Hemanta
core
On the strict convexity of Besicovitch-Musielak-Orlicz spaces of almost periodic functions equipped with the Orlicz norm [PDF]
, 2013 We characterize the strict convexity of Besicovitch-Musielak-Orlicz spaces of almost periodic functions, when it is equipped with the Orlicz norm. It is shown that this property is equivalent to the strict convexity of the Musielak-Orlicz function ...
Daoui, A., Smaali, M., Morsli, M.
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