Results 51 to 60 of about 4,926,903 (245)
Generalized Fractional Integral Operators and Their Commutators with Functions in Generalized Campanato Spaces on Orlicz Spaces [PDF]
Taiwanese journal of mathematics, 2018 We investigate the commutators $[b,I_{\rho}]$ of generalized fractional integral operators $I_{\rho}$ with functions $b$ in generalized Campanato spaces and give a necessary and sufficient condition for the boundedness of the commutators on Orlicz spaces.
Minglei Shi, Ryutaro Arai, E. Nakai
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Coarse and uniform embeddings between Orlicz sequence spaces
, 2013 We give an almost complete description of the coarse and uniform embeddability between Orlicz sequence spaces. We show that the embeddability between two Orlicz sequence spaces is in most cases determined only by the values of their upper Matuszewska ...
F Albiac +11 more
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Constructive Mathematical Analysis, 2019 In the present paper we establish a quantitative estimate for the sampling Kantorovich operators with respect to the modulus of continuity in Orlicz spaces defined in terms of the modular functional.
D. Costarelli, G. Vinti
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Global second‐order estimates in anisotropic elliptic problems
Proceedings of the London Mathematical Society, Volume 130, Issue 3, March 2025.Abstract This work deals with boundary value problems for second‐order nonlinear elliptic equations in divergence form, which emerge as Euler–Lagrange equations of integral functionals of the Calculus of Variations built upon possibly anisotropic norms of the gradient of trial functions.
Carlo Alberto Antonini +4 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
Fatou property, representations, and extensions of law-invariant risk measures on general Orlicz spaces [PDF]
Finance and Stochastics, 2017 We provide a variety of results for quasiconvex, law-invariant functionals defined on a general Orlicz space, which extend well-known results from the setting of bounded random variables. First, we show that Delbaen’s representation of convex functionals
N. Gao +3 more
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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
wiley +1 more source
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
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Distortion risk measures: Prudence, coherence, and the expected shortfall
Mathematical Finance, Volume 34, Issue 4, Page 1291-1327, October 2024.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
wiley +1 more source
A revised condition for harmonic analysis in generalized Orlicz spaces on unbounded domains
Mathematische Nachrichten, Volume 297, Issue 9, Page 3184-3191, September 2024.Abstract Conditions for harmonic analysis in generalized Orlicz spaces have been studied over the past decade. One approach involves the generalized inverse of so‐called weak Φ$\Phi$‐functions. It featured prominently in the monograph Orlicz Spaces and Generalized Orlicz Spaces [P. Harjulehto and P. Hästö, Lecture Notes in Mathematics, vol.
Petteri Harjulehto +2 more
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