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Boundary vs. interior conditions associated with weighted composition operators

100%

Izuchi K., Izuchi Y., Ohno S.

Open Mathematics

2014

tom 12

nr 5

761-777

Associated with some properties of weighted composition operators on the spaces of bounded harmonic and analytic functions on the open unit disk $$\mathbb{D}$$, we obtain conditions in terms of behavior of weight functions and analytic self-maps on the interior $$\mathbb{D}$$ and on the boundary $$\partial \mathbb{D}$$ respectively. We give direct proofs of the equivalence of these interior and boundary conditions. Furthermore we give another proof of the estimate for the essential norm of the difference of weighted composition operators.

Essential spectra of weighted composition operators with hyperbolic symbols

88%

Hyvärinen O., Nieminen I.

Concrete Operators

2015

tom 2

nr 1

In this paperwe study both the spectra and the essential spectra ofweighted composition operators on Hardy spaces Hp(ⅅ), standard weighted Bergman spaces Apα(ⅅ) and weighted H∞1-type spaces when the symbols are of hyperbolic type

Ograniczanie wyników

1 Concrete Operators

1 Open Mathematics

1 Hyvärinen O.

1 Izuchi K.

1 Izuchi Y.

1 Nieminen I.

1 Ohno S.

1 2015

1 2014

Wyniki wyszukiwania

Boundary vs. interior conditions associated with weighted composition operators

Essential spectra of weighted composition operators with hyperbolic symbols