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

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Submitted: 2025-02-05; Published: 2025-02-05

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Abstract

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.