Results 71 to 80 of about 12,193 (245)
On the Solution of n‐Product of 2D‐Hadamard–Volterra Integral Equations in Banach Algebra
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this study, the solvability of a general form of product type of n‐classes of 2D‐Hadamard–Volterra integral equations in the Banach algebra C([1, a] × [1, b]) is studied and investigated under more general and weaker assumptions. We use a general form of the Petryshyn’s fixed point theorem (F.P.T.) in combination with a suitable measure of ...
Mohamed M. A. Metwali +3 more
wiley +1 more source
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
doaj +1 more source
, 2010 We study the canonical injection from the Hardy-Orlicz space $H^\Psi$ into the Bergman-Orlicz space ${\mathfrak B}^\Psi$.Comment: 21 ...
Lefèvre, Pascal +3 more
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On the convexity coefficient of Musielak–Orlicz function spaces equipped with the Orlicz norm [PDF]
, 2023 Tianbao Guo, Yunan Cui
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Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, some properties of weighted Segal algebras are investigated. The condition under which it guarantees the existence of a central approximate identity for weighted Segal algebras is given. Also, various homological and cohomological properties of weighted Segal algebras are obtained.
Batoul S. Mortazavi-Samarin +3 more
wiley +1 more source
Weighted composition operators on $ \alpha $-Bloch-Orlicz spaces over the unit polydisc
AIMS MathematicsLet $ {\mathbb{U}}^{n} $ be the unit polydisc in the complex vector space $ {\mathbb C}^n $. We defined the $ \alpha $-Bloch-Orlicz space on $ {\mathbb{U}}^n $ by using Young's function and showed that its norm is equivalent with a special $ \mu $-Bloch
Fuya Hu, Chengshi Huang, Zhijie Jiang
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Bifurcation for indefinite‐weighted p$p$‐Laplacian problems with slightly subcritical nonlinearity
Mathematische Nachrichten, Volume 297, Issue 11, Page 3982-4002, November 2024.Abstract We study a superlinear elliptic boundary value problem involving the p$p$‐Laplacian operator, with changing sign weights. The problem has positive solutions bifurcating from the trivial solution set at the two principal eigenvalues of the corresponding linear weighted boundary value problem.
Mabel Cuesta, Rosa Pardo
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A generalization of representation theorems in Hardy-Orlicz spaces on the upper complex half-plane [PDF]
, 2023 Jean-Marcel Tanoh Dje, Justin Feuto
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Approximative Compactness in Orlicz Spaces
Journal of Approximation Theory, 1998 Let \(M\) be a convex \(N\)-function and let \(\ell^M\) be the Orlicz sequence space with Luxemburg norm, \(L^M\) the Orlicz space with Luxemburg norm or with Orlicz norm of functions over a Lebesgue measurable set \(\Omega\subset \mathbb{R}\) of finite measure. It is proved that \(\ell^M\) is approximatively compact if and only if it is reflexive and \
Hudzik, Henryk, Wang, Baoxiang
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Minimizers of abstract generalized Orlicz‐bounded variation energy
Mathematical Methods in the Applied Sciences, Volume 47, Issue 15, Page 11795-11809, October 2024.A way to measure the lower growth rate of φ:Ω×[0,∞)→[0,∞)$$ \varphi :\Omega \times \left[0,\infty \right)\to \left[0,\infty \right) $$ is to require t↦φ(x,t)t−r$$ t\mapsto \varphi \left(x,t\right){t}^{-r} $$ to be increasing in (0,∞)$$ \left(0,\infty \right) $$.
Michela Eleuteri +2 more
wiley +1 more source