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Möbius invariance of analytic Besov spaces in tube domains over symmetric cones

100%

Garrigós G.

Colloquium Mathematicum

2010

tom 118

nr 2

559-568

Besov spaces of holomorphic functions in tubes over cones have been recently defined by Békollé et al. In this paper we show that Besov p-seminorms are invariant under conformal transformations of the domain when n/r is an integer, at least in the range 2-r/n < p ≤ ∞.

Conditionality constants of quasi-greedy bases in super-reflexive Banach spaces

45%

Albiac F., Ansorena J., Garrigós G., Hernández E., Raja M.

Studia Mathematica

2015

tom 227

nr 2

133-140

We show that in a super-reflexive Banach space, the conditionality constants $k_{N}(ℬ)$ of a quasi-greedy basis ℬ grow at most like $O((log N)^{1-ε})$ for some 0 < ε < 1. This extends results by the third-named author and Wojtaszczyk (2014), where this property was shown for quasi-greedy bases in $L_{p}$ for 1 < p < ∞. We also give an example of a quasi-greedy basis ℬ in a reflexive Banach space with $k_{N}(ℬ) ≈ log N$.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Studia Mathematica

2 Garrigós G.

1 Albiac F.

1 Ansorena J.

1 Hernández E.

1 Raja M.

1 2015

1 2010

Wyniki wyszukiwania

Möbius invariance of analytic Besov spaces in tube domains over symmetric cones

Conditionality constants of quasi-greedy bases in super-reflexive Banach spaces