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Sunday, July 12, 2020 | History

3 edition of Birnbaum-Orlicz spaces found in the catalog.

Birnbaum-Orlicz spaces

Iracema Martin Bund

Birnbaum-Orlicz spaces

by Iracema Martin Bund

  • 384 Want to read
  • 3 Currently reading

Published by USP in São Paulo .
Written in English

    Subjects:
  • Function spaces.,
  • Analytic functions.,
  • Measure theory.

  • Edition Notes

    Bibliography: p. 159.

    StatementIracema Martin Bund.
    SeriesNotas do Instituto de Matemática e Estatística da Universidade de São Paulo., no. 4
    Classifications
    LC ClassificationsQA323 .B86 1978
    The Physical Object
    Paginationvii, 161 p. ;
    Number of Pages161
    ID Numbers
    Open LibraryOL4145020M
    LC Control Number80123993

    In the mathematical analysis, and especially in real and harmonic analysis, a Birnbaum–Orlicz space is a type of function space which generalizes the L p spaces. Like the L p spaces, they are Banach spaces. The spaces are named for Władysław Orlicz and Zygmunt William Birnbaum, who first . 2 review of functions of finite entropy and the space LlogL Entropic regularization deals with positive integrable functions of ˙nite entropy. These functions are closely connected to the space LlogL, a special case of (Birnbaum–)Orlicz spaces, and hence we collect some facts about this space which are mainly taken from [17, 4]; see also [20].

    A Probability Metrics Approach to Financial Risk Measures relates the field of probability metrics and risk measures to one another and applies them to finance for the first to answer the question: which risk measure is best for a given problem?Finds new relations between existing classes of risk measuresDescribes applications in finance and extends them where possiblePresents the. birnbaum-orlicz space: birotunda: birthday problem: biscalar: bisected perimeter point: bisection: bisector: book: boole expansion theorem: boolean satisfiability problem: boolean-valued model: booleo boundedness in topological vector space generalize boundedness in normed space: bounding volume hierarchy: bouniakowsky conjecture.

    Arveson, W. (), An Invitation to C*-Algebra, Springer-Verlag, ISBN An excellent introduction to the subject, accessible for those with a knowledge of basic functional analysis.; Connes, Alain, Non-commutative geometry, ISBN book is widely regarded as a source of new research material, providing much supporting intuition, but it is difficult. In linear algebra, an inner product space is a vector space with an additional structure called an inner product. This additional structure associates each pair of vectors in the space with a scalar quantity known as the inner product of the vectors. Inner products allow the rigorous introduction of intuitive geometrical notions such as the length of a vector or the angle between two vectors.


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Birnbaum-Orlicz spaces by Iracema Martin Bund Download PDF EPUB FB2

In the mathematical analysis, and especially in real and harmonic analysis, a Birnbaum–Orlicz space is a type of function space which generalizes the L p spaces. Like the L p spaces, they are Banach spaces. The spaces are named for Władysław Orlicz and Zygmunt William Birnbaum, who first defined them in The term Birnbaum-Orlicz is sometimes used in the literature; see this paper for example.

However, these spaces are typically referred to as Orlicz spaces. I believe this is something we should highlight in the article. Sopasakis p (talk)28 December (UTC). The Haar basis is unconditional in such spaces iff the so-called Boyd indices are non-trivial (i.e, the lower index is strictly greater than 1 and the upper index is finite).

These spaces were introduced by Birnbaum-Orlicz [3] and Orlicz [34], and widely used in the study of harmonic analysis as well as partial differential equations; see, for example, [1,2,6,7,8,11, a convolution-induced topology on the orlicz space of a locally compact group - volume 99 issue 1 - ibrahim akbarbaglu, saeid maghsoudi Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a better experience on our websites.

One important subclass of all solid -BF-spaces is the family of all rearrangement invariant Banach spaces (see [71] for details) containing Jr(G) as a dense subspace. Typical members of this class are the so-called (Birnbaum-) Orlicz spaces, the Lorentz and the Lorentz-Zygmund spaces.

On the other hand, as the generalization of Birnbaum-Orlicz spaces book p (R n), the Orlicz space was introduced by Birnbaum-Orlicz in and Orlicz in, since then, the theory of the Orlicz spaces themselves has been well.

Concentrates on four specialized research directions as well as applications to different problems of probability theory. These include: description of the basic structure of p. metrics, analysis of the topologies in the space of probability measures generated by different types of p.

metrics, characterization of the ideal metrics for the given problem and investigations of the main. In [6] we established a representation theorem for multipliers (bounded operators commuting with translations) operating on a Banach space E of functions on a locally compact abelian group G.

Lp space and Banach space See more» Birnbaum–Orlicz space. In the mathematical analysis, and especially in real and harmonic analysis, a Birnbaum–Orlicz space is a type of function space which generalizes the L''p'' spaces.

New!!: Lp space and Birnbaum–Orlicz space See more» Bochner space. Finally, we deflne Hardy spaces Hp L(X) for p > 1, which may or may not coin- cide with the space Lp(X), and show that they interpolate with H1 L(X) spaces by the complex method.

View Show abstract. Apply Statistics Pure Mathematic Fault Tree Analysis Public Health Service Publication Scottish Book These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Zygmunt Wilhelm Birnbaum (18 October – 15 December ) was a Polish-American mathematician and statistician who contributed to functional analysis, nonparametric testing and estimation, probability inequalities, survival distributions, competing risks, and reliability theory.

After first earning a law degree and briefly practicing law, Birnbaum obtained his PhD in at the. On the other hand, as a generalization of L p (R n), the Orlicz space was introduced by Birnbaum–Orlicz and Orlicz.

Recently, Ky introduced a new Musielak–Orlicz Hardy space H φ (R n), which generalizes both the Orlicz–Hardy space (see, for example,) and the weighted Hardy space (see, for example,).

An analogue of Liapounoff's convexity theorem for Birnbaum-Orlicz spaces and the extreme points of their unit balls Pacific Journal of Mathematics () – An application of Wermer's subharmonicity theorem.

We analyze continuous optimal transport problems in the so-called Kantorovich form, where we seek a transport plan between two marginals that are prob.

As the generalization of L p (R n), the Orlicz space was introduced by Birnbaum–Orlicz in and Orlicz in. Since then, the theory of the Orlicz spaces themselves has been well developed and these spaces have been widely used in probability, statistics, potential theory, partial differential equations, as well as harmonic analysis and some.

Inner product spaces generalize Euclidean spaces (in which the inner product is the dot product, also known as the scalar product) to vector spaces of any (possibly infinite) dimension, and are studied in functional analysis. The first usage of the concept of a vector space with an inner product is due to Giuseppe Peano, in The main purpose of this book is to give a detailed and complete survey of recent progress related to the real-variable theory of Musielak–Orlicz Hardy-type function spaces, and to lay the foundations for further applications.

The real-variable theory of function spaces has always been at. Asuman Güven Aksoy is a Turkish-American mathematician whose research concerns topics in functional analysis, metric geometry, and operator theory including Banach spaces, measures of non-compactness, fixed points, Birnbaum–Orlicz spaces, real trees, injective metric spaces, and tight works at Claremont McKenna College, where she is Crown Professor of Mathematics and.

Birnbaum–Orlicz space (1, words) exact match in snippet view article find links to article ISBN Zygmund, Antoni, "Chapter IV: Classes of functions and Fourier series", Trigonometric Series, Volume 1 (3rd ed.), Cambridge University Press.

The study of variable Lebesgue spaces can be traced back to Birnbaum–Orlicz and Orlicz, but the modern development started with the article of Kováčik and Rákosník as well as of Cruz-Uribe and of Diening, and nowadays have been widely used in harmonic analysis (see, for example,).As a natural generalization of \(L^{p}({{\mathbb{R}}^{n}})\), the Orlicz space was introduced by Birnbaum-Orlicz and Orlicz, which is defined via an Orlicz function.

Recall that a Musielak-Orlicz space is defined via a Musielak-Orlicz function (see, for example, [ 3 ]) and a Musielak-Orlicz function is a natural generalization of an Orlicz.