Carleson type measures and their applications

Abstract

We introduce a modified Carleson measure called “Carleson type measure”. Using this concept, we can characterize the classes N of normal meromorphic functions and B ^# of spherical Bloch functions as well as some more general classes. We study also the relation between normal families and families of generalized normal meromorphic functions.

Keywords:

• Carleson type measures
• α-normal functions
• spherical Bloch functions
• normal families

1991 Mathematics Subject Classification::

• 30D45

^∗ [email protected].

^† [email protected]; [email protected].

^∗ [email protected].

^† [email protected]; [email protected].

Notes

^∗ [email protected].

^† [email protected]; [email protected].