Temat: Hardy class - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Hardy class of functions defined by the Salagean operator
Autorzy:: Niwa, Norio
Jimbo, Toshiya
Owa, Shigeyoshi
Powiązania:: https://bibliotekanauki.pl/articles/1294372.pdf
Data publikacji:: 1998
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Hardy class
Salagean operator
starlike
Opis:: We derive some properties of the Hardy class of analytic functions defined by the Salagean operator.
Źródło:: Annales Polonici Mathematici; 1998, 69, 1; 25-30
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On a property of weak resolvents and its application to a spectral problem
Autorzy:: Uetake, Yoichi
Powiązania:: https://bibliotekanauki.pl/articles/1294816.pdf
Data publikacji:: 1997
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: weak resolvent
cyclic vector
spectral radius
Hardy class
operator model theory
scattering theory
control theory
Opis:: We show that the poles of a resolvent coincide with the poles of its weak resolvent up to their orders, for operators on Hilbert space which have some cyclic properties. Using this, we show that a theorem similar to the Mlak theorem holds under milder conditions, if a given operator and its adjoint have cyclic vectors.
Źródło:: Annales Polonici Mathematici; 1997, 66, 1; 263-268
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Order bounded composition operators on the Hardy spaces and the Nevanlinna class
Autorzy:: Jaoua, Nizar
Powiązania:: https://bibliotekanauki.pl/articles/1217094.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: composition operators
order bounded maps
Hardy spaces
Nevanlinna class
radial limit
moment sequences and analytic moment sequences
Opis:: We study the order boundedness of composition operators induced by holomorphic self-maps of the open unit disc D. We consider these operators first on the Hardy spaces $H^p$ 0 < p < ∞ and then on the Nevanlinna class N. Given a non-negative increasing function h on [0,∞[, a composition operator is said to be X,L_h-order bounded (we write (X,L_h)-ob) with $X = H^p$ or X = N if its composition with the map f ↦ f*, where f* denotes the radial limit of f, is order bounded from X into $L_h$. We give a complete characterization and a family of examples in both cases. On the other hand, we show that the ($N,log^{+}L$)-ob composition operators are exactly those which are Hilbert-Schmidt on $H^2$. We also prove that the ($N,L^q$)-ob composition operators are exactly those which are compact from N into $H^q$.
Źródło:: Studia Mathematica; 1999, 134, 1; 35-55
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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