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Acknowledgements I would like to express my deepest appreciation to my supervisors Professor Hans-Jürgen Schmeisser and Professor Winfried Sickel for their support and many hints and comments. I thank also Professor Hans Triebel for many valuable discussions on the topic of this work.
We prove limiting imbeddings of spaces with dominating mixed derivatives into the spaces of almost Lipschitz continuous functions.
We prove dimension-free imbedding theorems for Sobolev spaces using extrapolation means and the Gross logarithmic inequality.
In this study the presence of an IFN-binding activity in the sera of patients with chronic viral hepatitis B or C treated with rIFN-alpha2 was screened by a radioimmune assay (RIA) using radiolabeled rIFN-alpha2. Incidence of an anti-IFN activitywas compared with hepatitis B virus (HBV) or hepatitis C virus (HCV) serum markers as hepatitis B s antigen… (More)
An equivalence of a discrete norm and a continuous norm of a trigonometric polynomial is proved for the case of irregular knots in Lp-spaces, where 0 < p +1:
Our concern in this paper lies with imbeddings of general spaces of Besov and Lizorkin-Triebel type with dominating mixed derivatives in the first critical case. We employ multivariate exponential Orlicz and Lorentz-Orlicz spaces in the role of targets. We study basic properties of the target spaces, in particular, we compare them with usual exponential… (More)
The aim of the paper is to characterize the trace space of vector-valued Sobolev spaces W p (R , E) , where E is an arbitrary Banach space. In particular, we do not assume that the underlying Banach space E has the UMD property. Vector-valued Sobolev and Besov spaces are widely used in abstract evolution equations, cf. e.g. Amann [1, 2, 4], Veraar and Weis… (More)
Acknowledgements The organizers would like to thank the Hausdorff Center for Mathematics at the University of Bonn and the Institute of Mathematics at the University of Lübeck for the generous financial support, which made this workshop possible. In addition, they also acknowledge the support by the German Research Foundation (DFG) within the Emmy-Noether… (More)
Acknowledgements I would like to express my deepest gratitude to my supervisors Professor Hans Triebel and Professor Hans-Jürgen Schmeisser for many fruitful discussions, suggestions and remarks. I would like to thank the whole group " Function spaces " for inspiring and friendly atmosphere. Besides, I would like to thank Professor Krotov for helpful… (More)