Complete paranormed Orlicz Lorentz sequence spaces over n -normed spaces
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Anand, Renu, Raj, Kuldip
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Bifurcation for indefinite‐weighted p$p$‐Laplacian problems with slightly subcritical nonlinearity
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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ON THE MODULAR SEQUENCE SPACES GENERATED BY THE CESÀRO MEAN
In this paper, the seminormed Ces\`aro difference sequence space \( \ell(\mathcal{F}_j, q, g, r, \mu, \Delta_{({s})}^{t}, \mathcal{C})\) is defined by using the generalized Orlicz function. Some algebraic and topological properties of the space \(\ell(\
Sukhdev Singh, Toseef Ahmed Malik
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The β-dual of the Cesàro sequence spaces defined on a generalized Orlicz space
In this paper we characterized the β-dual of the Cesàro sequence space with terms in a generalized Orlicz space. Further, we find that the dual is a generalization of the dual of the Cesàro space in the classical Banach space Lp for1 < p < ∞.
Haryadi, Supama, A. Zulijanto
semanticscholar +1 more source
Minimizers of abstract generalized Orlicz‐bounded variation energy
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
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Contractive projections in Orlicz sequence spaces [PDF]
We characterize norm‐one complemented subspaces of Orlicz sequence spaces ℓM equipped with either Luxemburg or Orlicz norm, provided that the Orlicz function M is sufficiently smooth and sufficiently different from the square function. We measure smoothness of M using AC1 and AC2 classes introduced by Maleev and Troyanski in 1991, and the condition for
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Distortion risk measures: Prudence, coherence, and the expected shortfall
Abstract Distortion risk measures (DRM) are risk measures that are law invariant and comonotonic additive. The present paper is an extensive inquiry into this class of risk measures in light of new ideas such as qualitative robustness, prudence and no reward for concentration, and tail relevance.
Massimiliano Amarante +1 more
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Stability estimates for the Vlasov–Poisson system in p$p$‐kinetic Wasserstein distances
Abstract We extend Loeper's L2$L^2$‐estimate (Theorem 2.9 in J. Math. Pures Appl. (9) 86 (2006), no. 1, 68–79) relating the force fields to the densities for the Vlasov–Poisson system to Lp$L^p$, with 1
Mikaela Iacobelli, Jonathan Junné
wiley
Local monotonicity coefficients in Orlicz sequence spaces equipped with the p-Amemiya norm
In this paper, the monotonicity is investigated with respect to Orlicz sequence space l Φ , p $l_{\varPhi , p}$ equipped with the p-Amemiya norm, and the necessary and sufficient condition is obtained to guarantee the uniform monotonicity, locally ...
Xin He, Yunan Cui, Henryk Hudzik
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On noncommutative distributional Khintchine type inequalities
Abstract The purpose of this paper is to provide distributional estimates for the series of the form ∑k=1∞xk⊗rk$\sum _{k=1}^\infty x_k\otimes r_k$ with {xk}k⩾1$\lbrace x_k\rbrace _{k\geqslant 1}$ being elements from noncommutative Lorentz spaces Λlog1/2(M)$\Lambda _{\log ^{1/2}}(\mathcal {M})$ and {rk}k⩾1$\lbrace r_k\rbrace _{k\geqslant 1}$ being ...
Yong Jiao +3 more
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