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Journal of Siberian Federal University. Mathematics & Physics, 2012, Volume 5, Issue 1, Pages 75–81 (Mi jsfu221)  
On the algebra of operators generated by singular Bochner–Martinelli operator in the domains with conical wedges

Davlatboi Kh. Dzhumabaev

National University of Uzbekistan, Tashkent, Uzbekistan
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Abstract: It is shown that in domains with conical wedges the $C^*$-algebra, generated by singular integral Bochner–Martinelli operator, its conjugates and continuous functions, is nonreducible and its Calkin algebra is correct.
Keywords: the singular Bochner–Martinelli integral, conical wedge, $C^*$-algebra.
Received: 18.05.2011
Received in revised form: 25.09.2011
Accepted: 10.11.2011
Document Type: Article
UDC: 517.55
Language: Russian
Citation: Davlatboi Kh. Dzhumabaev, “On the algebra of operators generated by singular Bochner–Martinelli operator in the domains with conical wedges”, J. Sib. Fed. Univ. Math. Phys., 5:1 (2012), 75–81
Citation in format AMSBIB
\Bibitem{Dzh12}
\by Davlatboi~Kh.~Dzhumabaev
\paper On the algebra of operators generated by singular Bochner--Martinelli operator in the domains with conical wedges
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2012
\vol 5
\issue 1
\pages 75--81
\mathnet{http://mi.mathnet.ru/jsfu221}
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