Essential norm of weighted composition operator betweenα-Bloch space andβ-Bloch space in polydiscs

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Essential norm of weighted composition operator between α-Bloch space and β-Bloch space in polydiscs

Let ϕ(z) = (ϕ 1 (z),...,ϕ n (z)) be a holomorphic self-map of D n and ψ(z) a holomorphic function on D n , where D n is the unit polydiscs of C n. Let 0 < α, β < 1, we compute the essential norm of a weighted composition operator ψC ϕ between α-Bloch space Ꮾ α (D n) and β-Bloch space Ꮾ β (D n).

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The Essential Norm of Composition Operator between Generalized Bloch Spaces in Polydiscs and its Applications

Let U be the unit polydisc of C n and φ = (φ1, . . . , φn) a holomorphic selfmap of U. By Bp(Un), B 0 (U) and B 0∗ (U) denote the p-Bloch space, Little p-Bloch space and Little star p-Bloch space in the unit polydisc U respectively, where p, q > 0. This paper gives the estimates of the essential norms of bounded composition operators Cφ induced by φ between Bp(Un) (B 0(Un) or B 0∗ (U) ) and Bq(...

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The Essential Norm of Composition Operator between Bloch-type Spaces in Polydiscs and its Applications

Let U be the unit polydisc of C n and φ = (φ1, . . . , φn) a holomorphic self-map of U. By Bp(Un), B 0 (U) and B 0∗ (U) denote the p-Bloch space, Little p-Bloch space and Little star p-Bloch space in the unit polydisc U respectively, where p, q > 0. This paper gives the estimates of the essential norms of bounded composition operators Cφ induced by φ between Bp(Un) (B 0(Un) or B 0∗(Un) ) and Bq...

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The Essential Norm of Composition Operator between Generalized Bloch Spaces in Polydiscs and its Applications

Let U be the unit polydisc of C n and φ = (φ1, . . . , φn) a holomorphic self-map of U. By Bp(Un), B 0 (U) and B 0∗ (U) denote the p-Bloch space, Little p-Bloch space and Little star p-Bloch space in the unit polydisc U respectively, where p, q > 0. This paper gives the estimates of the essential norms of bounded composition operators Cφ induced by φ between Bp(Un) (B 0(Un) or B 0∗(Un) ) and Bq...

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Estimates of Norm and Essential norm of Differences of Differentiation Composition Operators on Weighted Bloch Spaces

Norm and essential norm of differences of differentiation composition operators between Bloch spaces have been estimated in this paper. As a result, we find characterizations for boundedness and compactness of these operators.

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ژورنال

عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences

سال: 2004

ISSN: 0161-1712,1687-0425

DOI: 10.1155/s0161171204403548