In mathematical analysis, and especially in real, harmonic analysis and functional analysis, an Orlicz space is a type of function space which generalizes the Lp spaces. Like the Lp spaces, they are Banach spaces. The spaces are named for Władysław Orlicz, who was the first to define them in 1932.
Besides the Lp spaces, a variety of function spaces arising naturally in analysis are Orlicz spaces. One such space L log+L, which arises in the study of Hardy–Littlewood maximal functions, consists of measurable functions f such that the
Here log+ is the positive part of the logarithm. Also included in the class of Orlicz spaces are many of the most important Sobolev spaces. In addition, the Orlicz sequence spaces are examples of Orlicz spaces.
analysis, an Orliczspace is a type of function space which generalizes the Lp spaces. Like the Lp spaces, they are Banach spaces. The spaces are named for...
In mathematics, an Orlicz sequence space is any of certain class of linear spaces of scalar-valued sequences, endowed with a special norm, specified below...
indistinguishable. Bochner space – Type of topological space Orliczspace – Type of function space Hardy space – Concept within complex analysis Riesz–Thorin theorem –...
Hardy space Hilbert space Hölder space LF-space Lp space Minkowski space Montel space Morrey–Campanato spaceOrliczspace Riesz space Schwartz space Sobolev...
Sobolev spaces The Birnbaum–Orliczspaces L A ( μ ) . {\displaystyle L^{A}(\mu ).} Hölder spaces C k ( Ω ) . {\displaystyle C^{k}(\Omega ).} Lorentz space James'...
(x)}{x}}=0} Léonard, Christian. "Orliczspaces." (2007). O’Neil, Richard (1965). "Fractional integration in Orliczspaces. I". Transactions of the American...
s=\left(s_{n}\right)_{n=1}^{\infty }\in K} . Lp space Tsirelson space beta-dual spaceOrlicz sequence space Hilbert space Jarchow 1981, pp. 129–130. Debnath, Lokenath;...
Embeddings of Sobolev space in the Moser–Trudinger case into the corresponding Orliczspace. Embeddings of Besov and Triebel–Lizorkin spaces. Embeddings of Strichartz...
theory including Banach spaces, measures of non-compactness, fixed points, Birnbaum–Orliczspaces, real trees, injective metric spaces, and tight spans. She...
introduced and studied in full generality by Władysław Orlicz and Julian Musielak in the paper Musielak & Orlicz 1959: Laurence Chisholm Young studied earlier...
{\displaystyle L^{q}} dual space. The domain can be extended for more general Orlicz Hearts. If the underlying distribution for X {\displaystyle X} is a continuous...
agent in the Polish TV serial Stake larger than life Kordian Funky Koval, space detective Sugar "Kane" Kowalczyk, a singer of Polish descent played by Marilyn...
The General Gustaw Orlicz-Dreszer Park, also simply known as Dreszer Park, is an urban park in the city of Warsaw, Poland, in the district of Mokotów....
Tianhui Li (2008). "Dual characterization of properties of risk measures on Orlicz hearts". Mathematics and Financial Economics. 2: 2–29. doi:10.1007/s11579-008-0013-7...
eigenvalues for quasilinear elliptic differential operators: an Orlicz-Sobolev space setting" (with M. García-Huidobro, V. Le, R. Manásevich), Nonlinear...
Global Information