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We consider the stretching operator (Twf) (z) = f(wz) and the multiple shift operator Sf = zf on the Hardy spaces H(D) (1 ≤ p < +∞) . We describe… Click to show full abstract
We consider the stretching operator (Twf) (z) = f(wz) and the multiple shift operator Sf = zf on the Hardy spaces H(D) (1 ≤ p < +∞) . We describe in terms of so-called Berezin symbols their lattice of invariant subspaces. We also define a new class of operators on the reproducing kernel Hilbert space H(Ω), which in a particular case contains all compact operators, and discuss in terms of Berezin symbols their invariant subspaces.
Keywords:
description invariant;
subspaces terms;
berezin symbols;
terms berezin;
invariant subspaces
Journal Title: TURKISH JOURNAL OF MATHEMATICS
Year Published: 2018
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Journal Title: TURKISH JOURNAL OF MATHEMATICS
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!