Temat: interpolation of operators - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Interpolation dopérateurs entre espaces de fonctions holomorphes
Autorzy:: Lassere, Patrice
Powiązania:: https://bibliotekanauki.pl/articles/1312395.pdf
Data publikacji:: 1991
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: interpolation of operators
spaces of analytic functions
common Schauder bases
Opis:: Let $K$ be a compact subset of an hyperconvex open set $D ⊂ ℂ^n$, forming with D a Runge pair and such that the extremal p.s.h. function ω(·,K,D) is continuous. Let H(D) and H(K) be the spaces of holomorphic functions respectively on D and K equipped with their usual topologies. The main result of this paper contains as a particular case the following statement: if T is a continuous linear map of H(K) into H(K) whose restriction to H(D) is continuous into H(D), then the restriction of T to $H(D_α)$ is a continuous linear map of $H(D_α)$ into $H(D_α)$, ∀α ∈ ]0,1[ where $D_α = {z ∈ D : ω(z,D,K) < α}$.
Źródło:: Annales Polonici Mathematici; 1991-1992, 56, 1; 97-102
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On symmetric spaces containing isomorphic copies of Orlicz sequence spaces
Autorzy:: Astashkin, Sergey
Powiązania:: https://bibliotekanauki.pl/articles/745096.pdf
Data publikacji:: 2016
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: symmetric space
Orlicz sequence space
independent functions
p-convex function
q-concave function
interpolation of operators
Opis:: Let an Orlicz function $N$ be $(1+\varepsilon)$-convex and $(2-\varepsilon)$-concave at zero for some $\varepsilon>0.$ Then the function $1/N^{-1}(t)$, $t\in(0,1]$, belongs to a separable symmetric space $X$ with the Fatou property, which is an interpolation space with respect to the couple $(L_1,L_2)$, whenever $X$ contains a strongly embedded subspace isomorphic to the Orlicz sequence space $l_N$. On the other hand, we find necessary and sufficient conditions on such an Orlicz function $N$ under which a sequence of mean zero independent functions equimeasurable with the function ${1}/{N^{-1}}(t)$, \(0
Źródło:: Commentationes Mathematicae; 2016, 56, 1
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

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