New characterizations for weighted composition operator from Zygmund type spaces to Bloch type spaces
نویسندگان
چکیده
منابع مشابه
Estimates of Essential Norms of Weighted Composition Operator from Bloch Type Spaces to Zygmund Type Spaces
Let u be a holomorphic function and φ a holomorphic self-map of the open unit disk D in the complex plane. We give some new characterizations for the boundedness of the weighted composition operators uCφ from Bloch type spaces to Zygmund type spaces in D in terms of u,φ, their derivatives and the n-th power φ of φ. Moreover, we obtain some similar estimates for their essential norms. From which...
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Let $ mathcal{H}(mathbb{D}) $ denote the space of analytic functions on the open unit disc $mathbb{D}$. For a weight $mu$ and a nonnegative integer $n$, the $n$'th weighted type space $ mathcal{W}_mu ^{(n)} $ is the space of all $fin mathcal{H}(mathbb{D}) $ such that $sup_{zin mathbb{D}}mu(z)left|f^{(n)}(z)right|begin{align*}left|f right|_{mathcal{W}_...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 2015
ISSN: 0011-4642,1572-9141
DOI: 10.1007/s10587-015-0178-1