Miloš Arsenović, Romi F. Shamoyan, “Sharp theorems on multipliers and distances in harmonic function spaces in higher dimension”, J. Sib. Fed. Univ. Math. Phys., 2012, Volume 5, Issue 3,Pages <nobr>291

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Sharp theorems on multipliers and distances in harmonic function spaces in higher dimension

Miloš Arsenović^a, Romi F. Shamoyan^b

^a Faculty of Mathematics, University of Belgrade, Belgrade, Serbia
^b Bryansk University, Bryansk, Russia

Abstract: We present new sharp results concerning multipliers and distance estimates in various spaces of harmonic functions in the unit ball of $\mathbb R^n$.

Keywords: multipliers, harmonic functions, Bergman spaces, mixed norm spaces, distance estimates.

UDC: 517.5

Received: 22.12.2011
Received in revised form: 22.01.2012
Accepted: 05.03.2012

Language: English