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Teoriya Veroyatnostei i ee Primeneniya, 1980, Volume 25, Issue 1, Pages 154–157 (Mi tvp1040)  
This article is cited in 1 scientific paper (total in 1 paper)

Short Communications

A counterexample to the hypothesis on the $H^\infty$ to be dense in the space BMO

I. V. Pavlov

Rostov-na-Donu
Full-text PDF (256 kB) Citations (1)
Abstract: In the probability space $(\Omega,\mathscr F,\mathbf P)$ we consider a discrete increasing family of $\sigma$-fields $(\mathscr F_n)$ satisfying special conditions. By means of the norm (which is equivalent to that of the space BMO of martingales) we obtain an example of a martingale which belongs to BMO but cannot be approximated (in the BMO-norm) by elements of $H^\infty$.
Received: 14.09.1978
English version:
Theory of Probability and its Applications, 1980, Volume 25, Issue 1, Pages 152–154
DOI: https://doi.org/10.1137/1125015
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. V. Pavlov, “A counterexample to the hypothesis on the $H^\infty$ to be dense in the space BMO”, Teor. Veroyatnost. i Primenen., 25:1 (1980), 154–157; Theory Probab. Appl., 25:1 (1980), 152–154
Citation in format AMSBIB
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\by I.~V.~Pavlov
\paper A counterexample to the hypothesis on the $H^\infty$ to be dense in the space BMO
\jour Teor. Veroyatnost. i Primenen.
\yr 1980
\vol 25
\issue 1
\pages 154--157
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\zmath{https://zbmath.org/?q=an:0456.60046|0419.60047}
\transl
\jour Theory Probab. Appl.
\yr 1980
\vol 25
\issue 1
\pages 152--154
\crossref{https://doi.org/10.1137/1125015}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980LG24200015}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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