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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 401, Pages 82–92 (Mi znsl5227)  
$J$-closed finite collections of Hardy-type subspaces

P. Ivanishvili

Saint-Petersburg State University, Saint-Petersburg, Russia
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Abstract: Several proofs of the following statement are given: if $X^0,\dots,X^n$ are BMO-regular lattices on the circle and $x\in X^0\cap\dots\cap X^n$, then the distances from $x$ to the Hardy-type subspaces $X^j_A$ are roughly attained at one and the same element of $\bigcap_jX^j_A$.
Key words and phrases: Hardy-type spaces, $K$-closedness, $J$-closedness.
Received: 29.06.2012
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 194, Issue 6, Pages 645–650
DOI: https://doi.org/10.1007/s10958-013-1553-9
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: P. Ivanishvili, “$J$-closed finite collections of Hardy-type subspaces”, Investigations on linear operators and function theory. Part 40, Zap. Nauchn. Sem. POMI, 401, POMI, St. Petersburg, 2012, 82–92; J. Math. Sci. (N. Y.), 194:6 (2013), 645–650
Citation in format AMSBIB
\Bibitem{Iva12}
\by P.~Ivanishvili
\paper $J$-closed finite collections of Hardy-type subspaces
\inbook Investigations on linear operators and function theory. Part~40
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 401
\pages 82--92
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5227}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2981968}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 194
\issue 6
\pages 645--650
\crossref{https://doi.org/10.1007/s10958-013-1553-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84898994650}
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