Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615825 | Journal of Mathematical Analysis and Applications | 2014 | 15 Pages |
Abstract
If μ is a positive Borel measure on the interval [0,1)[0,1), the Hankel matrix Hμ=(μn,k)n,k⩾0Hμ=(μn,k)n,k⩾0 with entries μn,k=∫[0,1)tn+kdμ(t) induces formally the operatorHμ(f)(z)=∑n=0∞(∑k=0∞μn,kak)zn on the space of all analytic functions f(z)=∑k=0∞akzk, in the unit disc DD. In this paper we describe those measures μ for which HμHμ is a bounded (compact) operator from HpHp into HqHq, 0
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Christos Chatzifountas, Daniel Girela, José Ángel Peláez,