Theory of orlicz spaces
Webb10 apr. 2024 · Weighted 1-dimensional Orlicz-Poincaré inequalities. Lyudmila Korobenko, Olly Milshstein, Lucas Yong. In this paper we establish necessary and sufficient … WebbAprašymas. Analysis on Function Spaces of Musielak-Orlicz Type provides a state-of-the-art survey on the theory of function spaces of Musielak-Orlicz type. The book also offers readers a step-by-step introduction to the theory of Musielak-Orlicz spaces, and introduces associated function spaces, extending up to the current research on the topic
Theory of orlicz spaces
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Webb9 jan. 2007 · Abstract In this paper, we establish a regularity theory in the Orlicz space for the Poisson equation −Δ u = f, where f lies in the Orlicz space L^ {\phi} with \phi satisfying Δ 2 and ∇ 2 conditions. The proof is based on standard W 2, p estimates and Hardy–Littlewood maximal functions. Download to read the full article text References Webb29 okt. 2024 · In this paper we study composition operators on Hardy–Orlicz spaces on multiply connected domains whose boundaries consist of finitely many disjoint analytic Jordan curves. We obtain a characterization of order-bounded composition operators. We also investigate weak compactness and the Dunford–Pettis property of these operators. …
Webb5 feb. 2024 · This paper is devoted to the studying of the weak Orlicz–Lorentz space $$\Lambda_X^{\varphi, \infty}(w)$$ , which can be regarded as an extension of weak … In mathematical analysis, and especially in real, harmonic analysis and functional analysis, an Orlicz space is a type of function space which generalizes the L spaces. Like the L spaces, they are Banach spaces. The spaces are named for Władysław Orlicz, who was the first to define them in 1932. Besides … Visa mer These spaces are called Orlicz spaces by an overwhelming majority of mathematicians and by all monographies studying them, because Władysław Orlicz was the first who introduced them, in 1932. Some … Visa mer Similarly, the Orlicz norm of a random variable characterizes it as follows: $${\displaystyle \ X\ _{\Psi }\triangleq \inf \left\{k\in (0,\infty )\mid \operatorname {E} [\Psi ( X /k)]\leq 1\right\}.}$$ This norm is homogeneous and is defined only when this set is … Visa mer • "Orlicz space", Encyclopedia of Mathematics, EMS Press, 2001 [1994] Visa mer Suppose that μ is a σ-finite measure on a set X, and Φ : [0, ∞) → [0, ∞) is a Young function, i.e., a convex function such that Visa mer • Orlicz spaces generalize L spaces (for $${\displaystyle 1
Webbför 22 timmar sedan · Astronomers find that six of the earliest and most massive galaxy candidates observed by the James Webb Space Telescope so far appear to have … Webb1 jan. 2024 · Inclusion Properties of Orlicz and Weak Orlicz Spaces. Article. Full-text available. Jul 2016. Al Azhary Masta. Hendra Gunawan. Wono Setya Budhi. View. Show abstract.
WebbTheory of Orlicz spaces M. Rao, Z. Ren Published 1991 Mathematics A reference/text for mathematicians or students involved in analysis, differential equations, probability …
Webb11 apr. 2024 · Then, according to the rules set out by Einstein's theory of relativity, gravity compressed and heated these plasma pockets so that sound waves — called baryon acoustic oscillations — rippled ... react security testingWebb1 jan. 2024 · Inclusion Properties of Orlicz and Weak Orlicz Spaces. Article. Full-text available. Jul 2016. Al Azhary Masta. Hendra Gunawan. Wono Setya Budhi. View. Show … how to steam seafood at homeWebb14 apr. 2024 · As a consequence of Theorem 2, we obtain a complete description of the set of all \(p\in [1,\infty ]\) such that \(\ell ^p\) is symmetrically finitely represented in a separable Orlicz space and a Lorentz space (see Theorems 8 and 9).. Along the way, we compliment and refine some constructions related to the definition of partial dilation … react seeks to solve what problemWebb7 apr. 2024 · The main novelty of this article is that the authors skillfully use the corresponding results related to weighted Lebesgue spaces via their relations with Musielak–Orlicz spaces to overcome those essential difficulties caused by the deficiency of both the explicit quasi-norm expression of Musielak–Orlicz spaces and the … react security paperWebbOrlicz spaces exhibit strong concentration phenomena, inherited from their construction. In particular, they are associated to the sub-Exponential and sub-Gaussian classes of random variables. In this article, we aim to provide a brief introduction to concentration of measure in Orlicz spaces, in particular, Orlicz spaces of exponential type. react security scannerWebb5 dec. 2024 · Theory of Orlicz spaces by M. M. Rao 0 Ratings 4 Want to read 0 Currently reading 0 Have read Overview View 1 Edition Details Reviews Lists Related Books … how to steam share and play at the same timeWebb16 juli 2024 · The (weak) Musielak–Orlicz Hardy space H φ (ℝ n) (WH φ (ℝ n)) generalizes both the weighted (weak) Hardy space and the (weak) Orlicz Hardy space and hence has wide generality. In this paper, two boundedness criteria for both linear operators and positive sublinear operators from H φ (ℝ n ) to H φ (ℝ n ) or from H φ (ℝ n ) to WH φ (ℝ n … react select async paginate