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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2009 Volume 366, Pages 42–52 (Mi znsl3480)

This article is cited in 1 paper

Classical operators on Bloch spaces

E. S. Dubtsov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia

Abstract: Let $\mathbb D^n$ denote the unit polydisc and let $B_n$ denote the unit ball in $\mathbb C^n$, $n\ge1$. We investigate weighted composition operators on the $\alpha$-Bloch spaces $\mathcal B^\alpha(\mathbb D^n)$, $\alpha>1$. Also, we study Cesàro type operators on the $\alpha$-Bloch spaces $\mathcal B^\alpha(B_n)$, $\alpha>0$. Bibl. – 15 titles.

UDC: 517.55+517.98

Received: 11.05.2009


 English version:
Journal of Mathematical Sciences (New York), 2010, 165:4, 449–454

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