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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2005 Volume 327, Pages 74–77 (Mi znsl324)

Bloch, Hardy, and BMOA spaces in the ball

E. Doubtsov

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

Abstract: We construct a little Bloch function in all Hardy spaces $H^p$, $p<\infty$, on the unit ball of $\mathbb C^n$, but not in BMOA.

UDC: 517.55

Received: 03.10.2005


 English version:
Journal of Mathematical Sciences (New York), 2006, 139:2, 6403–6405

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© Steklov Math. Inst. of RAS, 2024