Products of composition and differentiation operators on the Hardy space
Mahbube Moradi, Mahsa Fatehi
TL;DR
This paper characterizes when products of composition and differentiation operators on the Hardy space are bounded, compact, or Hilbert-Schmidt, providing explicit conditions for each property.
Contribution
It offers a complete characterization of boundedness, compactness, and Hilbert-Schmidt conditions for these operator products on the Hardy space.
Findings
Characterization of boundedness and compactness
Explicit conditions for Hilbert-Schmidt operators
Complete operator property criteria
Abstract
We consider the products of composition and differentiation operators on the Hardy space. We provide a complete characterization of the boundedness and compactness of these operators. Furthermore, we obtain the explicit condition for these operators to be Hilbert-Schmidt operators.
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Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Advanced Harmonic Analysis Research