Abstract
Suppose ,
is an integral operator of
which is defined as follows:
, where
is the unit disk and
is the normalized area measure. For
, we obtain the norm estimates of
, where
. Our results are sharp for
. Moreover, we show that
is a compact operator and of Schatten p-class, where
. For
, we show that
, where
and q is the conjugate exponent of p. This result is sharp (see Remark 1.2) and the norm estimate of
is also obtained.
AMS SUBJECT CLASSIFICATIONS:
Acknowledgments
The authors of this paper would like to thank Professor Kehe Zhu for his help on Theorems 1.2 and 1.3.
Disclosure statement
No potential conflict of interest was reported by the author(s).