Constructing spaces of analytic functions through binormalizing sequences

• Autorzy: Mark C. Ho , Mu Ming Wong
• Języki publikacji: EN

Abstrakty

EN

H. Jiang and C. Lin [Chinese Ann. Math. 23 (2002)] proved that there exist infinitely many Banach spaces, called refined Besov spaces, lying strictly between the Besov spaces $B_{p,q}^s(ℝⁿ)$ and $⋃_{t>s}B_{p,q}^t(ℝⁿ)$. In this paper, we prove a similar result for the analytic Besov spaces on the unit disc 𝔻. We base our construction of the intermediate spaces on operator theory, or, more specifically, the theory of symmetrically normed ideals, introduced by I. Gohberg and M. Krein. At the same time, we use these spaces as models to provide criteria for several types of operators on H², including Hankel and composition operators, to belong to certain symmetrically normed ideals generated by binormalizing sequences.

Kategorie tematyczne

• 30H05: Bounded analytic functions
• 47B10: Operators belonging to operator ideals (nuclear, p -summing, in the Schatten-von Neumann classes, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2006
• Tom: 106
• Numer: 2
• Strony: 177-195

Daty

wydano

2006

Twórcy

autor

Mark C. Ho

• Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan

autor

Mu Ming Wong

• Department of Information Technology, Meiho Institute of Technology, Pington, Taiwan

Identyfikatory

DOI

10.4064/cm106-2-2