Generalized Cesáro operator on BMOA space
Tóm tắt
In this article, we prove that if
$$f\in H^{\infty }$$
then
$$\mathcal{P}^{b,c}f\in BMOA$$
, where
$$\mathcal{P}^{b,c}$$
is the generalized Cesáro operator with the condition
$$c>2$$
. Also we supply an upper bound for norm of
$$\mathcal{P}^{b,c}$$
from
$$ H^{\infty }$$
to BMOA with this condition.
Tài liệu tham khảo
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