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...
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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...
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functional analysis and topology: Orlicz spaces are named after him. Orlicz was the third of Franciszek and Maria Orlicz's five children. His youngest brother...
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indistinguishable. Bochner space – Type of topological space Orlicz space – Type of function space Hardy space – Concept within complex analysis Riesz–Thorin theorem –...
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Trudinger's theorem (category Sobolev spaces)
Sobolev spaces. It is named after Neil Trudinger (and Jürgen Moser). It provides an inequality between a certain Sobolev space norm and an Orlicz space norm...
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Hardy space Hilbert space Hölder space LF-space Lp space Minkowski space Montel space Morrey–Campanato space Orlicz space Riesz space Schwartz space Sobolev...
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concerning convergent series (Orlicz) or, equivalently, countable additivity of measures (Pettis) with values in abstract spaces. Let X {\displaystyle X} be...
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Sobolev spaces The Birnbaum–Orlicz spaces L A ( μ ) . {\displaystyle L^{A}(\mu ).} Hölder spaces C k ( Ω ) . {\displaystyle C^{k}(\Omega ).} Lorentz space ba...
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Young function (category Banach spaces)
(x)}{x}}=0} Léonard, Christian. "Orlicz spaces." (2007). O’Neil, Richard (1965). "Fractional integration in Orlicz spaces. I". Transactions of the American...
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Springer. Krasnosel'skii M.A., Rutickii Ya.B. (1961). Convex Functions and Orlicz Spaces. Groningen: P.Noordhoff Ltd. Lauritzen, Niels (2013). Undergraduate...
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Leszek (2004). Orlicz centenary volume : proceedings of the conferences "The Wladyslaw Orlicz Centenary Conference" and Function Spaces VII : Poznan, 20-25...
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2\right\}.} In other words, it is the Orlicz norm of X {\displaystyle X} generated by the Orlicz function Φ ( u ) = e u 2 − 1. {\displaystyle \Phi...
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and Mathematical Statistics, 1962, Harper and Brothers. Birnbaum, Z.W.; Orlicz, W. (1931). "Über die Verallgemeinerung des Begriffes der zueinander konjugierten...
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s=\left(s_{n}\right)_{n=1}^{\infty }\in K} . Lp space Tsirelson space beta-dual space Orlicz sequence space Hilbert space Jarchow 1981, pp. 129–130. Debnath, Lokenath;...
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On the structure of measure spaces Darst, Richard B., and Robert E. Zink. “A NOTE ON THE DEFINITION OF AN ORLICZ SPACE.” Real Analysis Exchange, vol...
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Cocompact embedding (category Normed spaces)
Embeddings of Sobolev space in the Moser–Trudinger case into the corresponding Orlicz space. Embeddings of Besov and Triebel–Lizorkin spaces. Embeddings of Strichartz...
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theory including Banach spaces, measures of non-compactness, fixed points, Birnbaum–Orlicz spaces, real trees, injective metric spaces, and tight spans. She...
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Hahn–Banach theorem (category Topological vector spaces)
{\displaystyle X.} The following theorem of Mazur–Orlicz (1953) is equivalent to the Hahn–Banach theorem. Mazur–Orlicz theorem — Let p : X → R {\displaystyle p:X\to...
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Krasnosel'skii, M.A.; Rutickii, Ya.B. (1961), Convex Functions and Orlicz Spaces, Groningen: P.Noordhoff Ltd, 249p. Krasnosel'skii, M.A. (1964), Positive...
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the same as the definition introduced by Stanisław Mazur and Władysław Orlicz in 1933 for metrizable TVS. Kolmogorov used this definition to prove that...
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Bounded variation (redirect from Bv space)
introduced and studied in full generality by Władysław Orlicz and Julian Musielak in the paper Musielak & Orlicz 1959: Laurence Chisholm Young studied earlier...
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analysis. Dunford–Pettis property Dunford–Pettis theorem Milman–Pettis theorem Orlicz–Pettis theorem Pettis integral Pettis theorem Graves, William H.; Davis...
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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....
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theory) Orbit-stabilizer theorem (group theory) Ore's theorem (graph theory) Orlicz–Pettis theorem (functional analysis) Ornstein theorem (ergodic theory) Oseledec...
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Hilbert spaces. He mainly made his name in his contribution to several mathematical subjects around modulars, Riesz spaces, Orlicz-Nakano spaces and Nakano...
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{\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...
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of Chicago Spouse Catherine Woof Scientific career Thesis Embedding theorems for Orlicz-Sobolev spaces and applications Doctoral advisor Felix Browder...
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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...
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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...
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orthogonal developments of almost all functions in Wiener space) under the supervision of Władysław Orlicz. He has been a professor at the Mathematical Institute...
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