Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4617188 | Journal of Mathematical Analysis and Applications | 2012 | 9 Pages |
Abstract
The class F consists of those functions with the property lim suprâ1âT(r,f)âlog(1âr)=α(f)<+â. Here we study the subclass S of F which consists of those functions in F with integrals not in F. In a sense the functions in S form a boundary for F in that all of their derivatives are in F, but any number of integrals of functions in S are not in F. We analyze the relationships between S and functions in Hardy, Bergman, and Dirichlet spaces. We also consider the power series representation of functions in S.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jonathan A. Meshes,