WebbRao, M.M. and Ren, Z.D. (1991) Theory of Orlicz Spaces. Marcel Dekker, New York. has been cited by the following article: TITLE: Remarks on the Harnak Inequality for Local-Minima of Scalar Integral Functionals with General … 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
Orlicz-Hardy spaces and their duals SpringerLink
Webb14 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 … WebbFör 1 dag sedan · The James Webb Space Telescope (JWST) appears to be finding multiple galaxies that grew too massive too soon after the Big Bang, if the standard … devil\u0027s fish
Theory of Orlicz spaces Semantic Scholar
WebbOrlicz 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. Webb10 maj 2024 · Abstract. In this chapter, we first recall the notion of growth functions, establish some technical lemmas and introduce the Musielak-Orlicz Hardy space \ (H^ {\varphi } (\mathbb {R}^ {n})\) which ... Webbity and monotonicity of of Oríicz spaces with Luxexnburg and Or-licz norms are given. The monotone coefficients of a point and of the spaces are computed. The monotonicity and the uniform monotonicity are important prop-erties of Banach lattices. lii 1985, Akcoglu and Sucheston [1) showed how these properties are related to ergodic theory. churchill alcohol consumption