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- Title
ON A NEW PRODUCT-TYPE OPERATOR ON THE UNIT BALL.
- Authors
STEVIĆ, STEVO
- Abstract
Let m ∈ N, uj, j = 1,m, be holomorphic functions on the open unit ball B ⊂ Cn, φ be a holomorphic self-map of B, and Dl be the partial derivative operator in the lth variable l ∈ {1,2,...,n}. We introduce here the following polynomial differentiation composition operator PD,φm f : = ∑j=1m ujCφDlj Dl1 f and give some necessary and sufficient conditions for the boundedness and compactness of the operator from the logarithmic Bloch spaces to weighted-type spaces of holomorphic functions on B.
- Subjects
HOLOMORPHIC functions; MATHEMATICS; BLOCH equations; MATHEMATICAL variables; FUNCTION spaces
- Publication
Journal of Mathematical Inequalities, 2022, Vol 16, Issue 4, p1675
- ISSN
1846-579X
- Publication type
Article
- DOI
10.7153/jmi-2022-16-109