EUDML

Currently displaying 1 – 9 of 9

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Perturbation Classes of Semi-Fredholm Operators.

Lutz Weis — 1981

Mathematische Zeitschrift

On the surjective (injective) envelope of strictly (co-) singular operators

Lutz Weis — 1976

Studia Mathematica

Einige Aspekte der Funktionalanalysis.

Eberhard Schock; Lutz Weis

Jahresbericht der Deutschen Mathematiker-Vereinigung

Wavelet transform for functions with values in UMD spaces

Cornelia Kaiser; Lutz Weis — 2008

Studia Mathematica

We extend the classical theory of the continuous and discrete wavelet transform to functions with values in UMD spaces. As a by-product we obtain equivalent norms on Bochner spaces in terms of g-functions.

Estimates for vector-valued holomorphic functions and Littlewood-Paley-Stein theory

Mark Veraar; Lutz Weis — 2015

Studia Mathematica

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 $L^{p} (X) \subseteq γ (X) \subseteq L^{q} (X)$ , 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.

A note on maximal estimates for stochastic convolutions

Mark Veraar; Lutz Weis — 2011

Czechoslovak Mathematical Journal

In stochastic partial differential equations it is important to have pathwise regularity properties of stochastic convolutions. In this note we present a new sufficient condition for the pathwise continuity of stochastic convolutions in Banach spaces.

$H^{\infty}$ calculus and dilatations

Andreas M. Fröhlich; Lutz Weis — 2006

Bulletin de la Société Mathématique de France

We characterise the boundedness of the $H^{\infty}$ calculus of a sectorial operator in terms of dilation theorems. We show e. g. that if $- A$ generates a bounded analytic $C_{0}$ semigroup $(T_{t})$ on a UMD space, then the $H^{\infty}$ calculus of $A$ is bounded if and only if $(T_{t})$ has a dilation to a bounded group on $L^{2} ([0, 1], X)$ . This generalises a Hilbert space result of C.LeMerdy. If $X$ is an $L^{p}$ space we can choose another $L^{p}$ space in place of $L^{2} ([0, 1], X)$ .