OPERATORS ON THE BESOV SPACESOF HOLOMORPHIC FUNCTIONS ON THE UNIT BALL IN Cn

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OPERATORS ON THE BESOV SPACESOF HOLOMORPHIC FUNCTIONS ON THE UNIT BALL IN Cn Anahit Harutyunyan

n the present paper we consider the Toeplitz-Tα ̄hand differentiation-Dδoperators on the Besov spacesBp(β)for all 0<p<∞.We show thatTα ̄h:Bp(β)→Bp(β)for ̄h∈H∞(Bn)andDδ:Bp(β)→Bp( ̃β), where ̃β=β+pδ.

DOI: 10.46991/PYSU:A/2017.51.2.139 Physical and Mathematical Sciences, 51(2 (243) 139-145

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Keywords

weighted Besov spaces, unit ball, projection

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