Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
We consider generalized square function norms of holomorphic functions with values in a Banach space. One of the main results is a characterization of embeddings of the form
$L^{p}(X) ⊆ γ(X) ⊆ L^{q}(X)$,
in terms of the type p and cotype q of the Banach space X. As an application we prove $L^{p}$-estimates for vector-valued Littlewood-Paley-Stein g-functions and derive an embedding result for real and complex interpolation spaces under type and cotype conditions.
$L^{p}(X) ⊆ γ(X) ⊆ L^{q}(X)$,
in terms of the type p and cotype q of the Banach space X. As an application we prove $L^{p}$-estimates for vector-valued Littlewood-Paley-Stein g-functions and derive an embedding result for real and complex interpolation spaces under type and cotype conditions.
Słowa kluczowe
Kategorie tematyczne
- 46E40: Spaces of vector- and operator-valued functions
- 47D07: Markov semigroups and applications to diffusion processes
- 46B20: Geometry and structure of normed linear spaces
- 46B70: Interpolation between normed linear spaces
- 42B25: Maximal functions, Littlewood-Paley theory
- 46B09: Probabilistic methods in Banach space theory
Czasopismo
Rocznik
Tom
Numer
Strony
73-99
Opis fizyczny
Daty
wydano
2015
Twórcy
autor
- Delft Institute of Applied Mathematics, Delft University of Technology, P.O. Box 5031, 2600 GA Delft, The Netherlands
autor
- Institut für Analysis, Karlsruhe Institute of Technology, D-76128 Karlsruhe, Germany
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-sm228-1-7