Birnbaum-Orlicz spaces
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Birnbaum-Orlicz spaces by Iracema Martin Bund

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Published by USP in São Paulo .
Written in English


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

Book details:

Edition Notes

Bibliography: p. 159.

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

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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 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. 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,,,).